1,667 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 1667 look like?

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

1667 is a prime number. Like all primes (except two), it is an odd number.

Prime factorization of 1667:


See below for interesting mathematical facts about the number 1667 from the Numbermatics database.

Names of 1667

  • Cardinal: 1667 can be written as One thousand, six hundred sixty-seven.

Scientific notation

  • Scientific notation: 1.667 × 103

Factors of 1667

  • Number of distinct prime factors ω(n): 1
  • Total number of prime factors Ω(n): 1
  • Sum of prime factors: 1667

Divisors of 1667

  • Number of divisors d(n): 2
  • Complete list of divisors:
  • Sum of all divisors σ(n): 1668
  • Sum of proper divisors (its aliquot sum) s(n): 1
  • 1667 is a deficient number, because the sum of its proper divisors (1) is less than itself. Its deficiency is 1666

Bases of 1667

  • Binary: 110100000112
  • Hexadecimal: 0x683
  • Base-36: 1AB

Squares and roots of 1667

  • 1667 squared (16672) is 2778889
  • 1667 cubed (16673) is 4632407963
  • The square root of 1667 is 40.8289113251
  • The cube root of 1667 is 11.8571013831

Scales and comparisons

How big is 1667?
  • 1,667 seconds is equal to 27 minutes, 47 seconds.
  • To count from 1 to 1,667 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 1667 cubic inches would be around 1 feet tall.

Recreational maths with 1667

  • 1667 backwards is 7661
  • 1667 is a twin prime! Its twin is 1669
  • The number of decimal digits it has is: 4
  • The sum of 1667's digits is 20
  • More coming soon!

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The information we have on file for 1667 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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