12,167 is an odd composite number. It is composed of a single prime number multiplied by itself two times.

What does the number 12167 look like?

This visualization shows the relationship between its 1 prime factors (large circles) and 4 divisors.

12167 is an odd composite number. It is composed of one distinct prime number multiplied by itself two times. It has a total of four divisors.

Prime factorization of 12167:


(23 × 23 × 23)

See below for interesting mathematical facts about the number 12167 from the Numbermatics database.

Names of 12167

  • Cardinal: 12167 can be written as Twelve thousand, one hundred sixty-seven.

Scientific notation

  • Scientific notation: 1.2167 × 104

Factors of 12167

  • Number of distinct prime factors ω(n): 1
  • Total number of prime factors Ω(n): 3
  • Sum of prime factors: 23

Divisors of 12167

  • Number of divisors d(n): 4
  • Complete list of divisors:
  • Sum of all divisors σ(n): 12720
  • Sum of proper divisors (its aliquot sum) s(n): 553
  • 12167 is a deficient number, because the sum of its proper divisors (553) is less than itself. Its deficiency is 11614

Bases of 12167

  • Binary: 101111100001112
  • Hexadecimal: 0x2F87
  • Base-36: 9DZ

Squares and roots of 12167

  • 12167 squared (121672) is 148035889
  • 12167 cubed (121673) is 1801152661463
  • The square root of 12167 is 110.3041250361
  • 12167 is a perfect cube number. Its cube root is 23

Scales and comparisons

How big is 12167?
  • 12,167 seconds is equal to 3 hours, 22 minutes, 47 seconds.
  • To count from 1 to 12,167 would take you about three 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 12167 cubic inches would be around 1.9 feet tall.

Recreational maths with 12167

  • 12167 backwards is 76121
  • The number of decimal digits it has is: 5
  • The sum of 12167's digits is 17
  • More coming soon!

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"Number 12167 - Facts about the integer". Numbermatics.com. 2024. Web. 22 July 2024.

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Numbermatics. (2024). Number 12167 - Facts about the integer. Retrieved 22 July 2024, from https://numbermatics.com/n/12167/

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The information we have on file for 12167 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 12167, math, Factors of 12167, curriculum, school, college, exams, university, Prime factorization of 12167, STEM, science, technology, engineering, physics, economics, calculator, twelve thousand, one hundred sixty-seven.

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