1,997 is a prime number. Like all primes greater than two, it is odd and has no factors apart from itself and one.

What does the number 1997 look like?

As a prime, it is not composed of any other numbers and has no internal structure.

1997 is a prime number. Like all primes (except two), it is an odd number.

Prime factorization of 1997:


See below for interesting mathematical facts about the number 1997 from the Numbermatics database.

Names of 1997

  • Cardinal: 1997 can be written as One thousand, nine hundred ninety-seven.

Scientific notation

  • Scientific notation: 1.997 × 103

Factors of 1997

  • Number of distinct prime factors ω(n): 1
  • Total number of prime factors Ω(n): 1
  • Sum of prime factors: 1997

Divisors of 1997

  • Number of divisors d(n): 2
  • Complete list of divisors:
  • Sum of all divisors σ(n): 1998
  • Sum of proper divisors (its aliquot sum) s(n): 1
  • 1997 is a deficient number, because the sum of its proper divisors (1) is less than itself. Its deficiency is 1996

Bases of 1997

  • Binary: 111110011012
  • Hexadecimal: 0x7CD
  • Base-36: 1JH

Squares and roots of 1997

  • 1997 squared (19972) is 3988009
  • 1997 cubed (19973) is 7964053973
  • The square root of 1997 is 44.6878059431
  • The cube root of 1997 is 12.5929077413

Scales and comparisons

How big is 1997?
  • 1,997 seconds is equal to 33 minutes, 17 seconds.
  • To count from 1 to 1,997 would take you about thirty-three minutes.

    This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)

  • A cube with a volume of 1997 cubic inches would be around 1 feet tall.

Recreational maths with 1997

  • 1997 backwards is 7991
  • 1997 is a twin prime! Its twin is 1999
  • The number of decimal digits it has is: 4
  • The sum of 1997's digits is 26
  • More coming soon!

Link to this page

HTML: To link to this page, just copy and paste the link below into your blog, web page or email.

BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:

Cite this page

MLA style:
"Number 1997 - Facts about the integer". Numbermatics.com. 2023. Web. 23 March 2023.

APA style:
Numbermatics. (2023). Number 1997 - Facts about the integer. Retrieved 23 March 2023, from https://numbermatics.com/n/1997/

Chicago style:
Numbermatics. 2023. "Number 1997 - Facts about the integer". https://numbermatics.com/n/1997/

The information we have on file for 1997 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!

Keywords: Divisors of 1997, math, Factors of 1997, curriculum, school, college, exams, university, Prime factorization of 1997, STEM, science, technology, engineering, physics, economics, calculator, one thousand, nine hundred ninety-seven.

Oh no. Javascript is switched off in your browser.
Some bits of this website may not work unless you switch it on.