Number Gossip

(Enter a number and I'll tell you everything you wanted to know about it but were afraid to ask.)

Unique Properties of 1331

  • 1331 is the smallest non-trivial cube containing only odd digits
  • 1331 is the smallest cube containing every digit it contains exactly twice
  • 1331 is the smallest even-digit palindromic perfect power
  • 1331 is the smallest cube ending in a different positive cube
  • 1331 is the only non-trivial cube of the form x2 + x - 1 (achieved for x = 36 or x = -37) (submitted by Joshua Gray)
  • 1331 is the smallest prime cube that contains the next prime after its cube root as a substring
  • 1331 is the smallest cube which is a sum of three consecutive primes
  • 1331 is the smallest number n such that its cube contains the string 2357 of the first four consecutive primes (13313 = 2357947691)

Rare Properties of 1331

Cube

Common Properties of 1331

Composite
Deficient
Evil
Odd
Palindrome
Powerful