# 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 727

- 727 is the smallest odd prime which can be represented as the sum of a cube and its reverse (727 = 512 + 215)
- 727 is the smallest prime of the form n
^{3}- 2 - 727 is the smallest palindromic prime that encloses the first prime: 2
- 727 is the smallest prime arithmetic mean of ten consecutive primes
- 727 is the smallest prime that is two less than a cube
- 727 is the smallest prime such that none of its four closest neighbors are squarefree