# 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 x
^{2}+ 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 (1331
^{3}= 2357947691)