1,663 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 1663 look like?

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

1663 is a prime number. Like all primes (except two), it is an odd number.

Prime factorization of 1663:


See below for interesting mathematical facts about the number 1663 from the Numbermatics database.

Names of 1663

  • Cardinal: 1663 can be written as One thousand, six hundred sixty-three.

Scientific notation

  • Scientific notation: 1.663 × 103

Factors of 1663

  • Number of distinct prime factors ω(n): 1
  • Total number of prime factors Ω(n): 1
  • Sum of prime factors: 1663

Divisors of 1663

  • Number of divisors d(n): 2
  • Complete list of divisors:
  • Sum of all divisors σ(n): 1664
  • Sum of proper divisors (its aliquot sum) s(n): 1
  • 1663 is a deficient number, because the sum of its proper divisors (1) is less than itself. Its deficiency is 1662

Bases of 1663

  • Binary: 110011111112
  • Hexadecimal: 0x67F
  • Base-36: 1A7

Squares and roots of 1663

  • 1663 squared (16632) is 2765569
  • 1663 cubed (16633) is 4599141247
  • The square root of 1663 is 40.7798970083
  • The cube root of 1663 is 11.8476100031

Scales and comparisons

How big is 1663?
  • 1,663 seconds is equal to 27 minutes, 43 seconds.
  • To count from 1 to 1,663 would take you about twenty-seven 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 1663 cubic inches would be around 1 feet tall.

Recreational maths with 1663

  • 1663 backwards is 3661
  • The number of decimal digits it has is: 4
  • The sum of 1663's digits is 16
  • 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 1663 - Facts about the integer". Numbermatics.com. 2023. Web. 7 June 2023.

APA style:
Numbermatics. (2023). Number 1663 - Facts about the integer. Retrieved 7 June 2023, from https://numbermatics.com/n/1663/

Chicago style:
Numbermatics. 2023. "Number 1663 - Facts about the integer". https://numbermatics.com/n/1663/

The information we have on file for 1663 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 1663, math, Factors of 1663, curriculum, school, college, exams, university, Prime factorization of 1663, STEM, science, technology, engineering, physics, economics, calculator, one thousand, six hundred sixty-three.

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