# 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 124

- 124 is the smallest magic sum of a 4 by 4 semimagic square composed of consecutive primes
- 124 is the smallest nontotient untouchable number
- 124 is the smallest number that is written with 3 distinct digits forming a geometric progression
- 124 = σ(1!2!4!). Note that 124 is the smallest number, excluding the trivial 1, with this property
- 124 is the smallest nulti-digit number which is one less than the cube of a prime, whose sum of digits as well as is one less than the cube of a prime