# 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 216

- 216 is the smallest untouchable number which is also a cube
- Plato's number: Plato alludes to the fact that 216 is equal to 6
^{3}, where 6 is one of the numbers representing marriage since it is the product of the female 2 and the male 3. Plato was also aware of the fact the the sum of the cubes of the 3-4-5 Pythagorean triple is equal to 216 - 216 = 2
^{3}*3^{3}= 6^{3}= 3^{3}+ 4^{3}+ 5^{3}, making it the smallest cube that's also the sum of three cubes - 216 is the the number of colors in the Netscape Web-safe color palette
- 216 is the smallest magic product of a 3 by 3 multiplicative magic square
- 216 is the smallest abundant cube
- 216 is the smallest number with more abundant divisors than deficient divisors
- 216 is the smallest volume of an integer-sized brick that has the same surface area as volume
- 216 is the smallest number such that three numbers before and three numbers after are all semiprimes (submitted by Massimo Kofler)