# 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 37

- 37 is the smallest irregular prime (submitted by Andy Baker and John Kiehl)
- 37 is the smallest left and right truncatable prime having more than one digit
- 37 is the only prime with period length three: 1/37 = 0.027 027 027 ...
- 37 is the prime you get if a three digit number having the same digits is divided by its digit sum
- 37, that is XXXVII, is the last odd Roman numeral alphabetically
- A web page about 37: "37 Factoids" page
- Every positive integer is the sum of at most 37 fifth powers
- 37 is the smallest prime that doesn't divide the order of the Monster group
- Every positive integer is the sum of at most 37 fifth powers
- 37 is the smallest number that appears in its factorial twice