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 63, 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 = 23*33 = 63 = 33 + 43 + 53, 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)