# 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 168

- 168 is the number of hours in a week
- 168 is the size of the smallest non-cyclic simple group which is not an alternating group
- 168 is the number of knights move on a chessboard that go up
- 168 is the number of primes less than 1000
- 168 is the total number of spots on a set of dominoes (submitted by Ken Knowlton)
- 165 is the smallest number with more than one nonzero digit whose cubed digits sum to a cube (1
^{3}+ 6^{3}+ 8^{3}= 729 = 9^{3}) - 168 is the smallest integer areas of an integer-sided triangle such that the length of its circumradius is a square