9,967 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 9967 look like?

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

9967 is a prime number. Like all primes (except two), it is an odd number.

Prime factorization of 9967:


See below for interesting mathematical facts about the number 9967 from the Numbermatics database.

Names of 9967

  • Cardinal: 9967 can be written as Nine thousand, nine hundred sixty-seven.

Scientific notation

  • Scientific notation: 9.967 × 103

Factors of 9967

  • Number of distinct prime factors ω(n): 1
  • Total number of prime factors Ω(n): 1
  • Sum of prime factors: 9967

Divisors of 9967

  • Number of divisors d(n): 2
  • Complete list of divisors:
  • Sum of all divisors σ(n): 9968
  • Sum of proper divisors (its aliquot sum) s(n): 1
  • 9967 is a deficient number, because the sum of its proper divisors (1) is less than itself. Its deficiency is 9966

Bases of 9967

  • Binary: 100110111011112
  • Hexadecimal: 0x26EF
  • Base-36: 7OV

Squares and roots of 9967

  • 9967 squared (99672) is 99341089
  • 9967 cubed (99673) is 990132634063
  • The square root of 9967 is 99.8348636499
  • The cube root of 9967 is 21.5206220021

Scales and comparisons

How big is 9967?
  • 9,967 seconds is equal to 2 hours, 46 minutes, 7 seconds.
  • To count from 1 to 9,967 would take you about two hours.

    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 9967 cubic inches would be around 1.8 feet tall.

Recreational maths with 9967

  • 9967 backwards is 7699
  • The number of decimal digits it has is: 4
  • The sum of 9967's digits is 31
  • More coming soon!

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The information we have on file for 9967 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!

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