# 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 613

- 613 is the smallest prime such that bringing the first digit to the back produces a triangular number (136) and repeating this operation produces a square (361)
- 613 is the smallest number n such that the numbers of divisors of n, n+1, n+2 and n+3 are k, 2k, 4k, 8k respectively for some k