# 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 223

- 223 is the smallest prime with three prime digits
- 223 is the smallest number such that each digit leaves the same nonzero remainder when each is divided into the number: 223 when divided by 2 or 3 produces a non-zero remainder 1
- 223 is the smallest prime whose reversal is a product of 3 distinct primes
- 223 is the least positive integer requiring the maximum number of terms, namely 37, when expressed as a sum of positive fifth powers