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 36

  • 36 is the smallest number out of two (the other being 360) that have the same number of letters in its Roman representation as its double, triple, quadruple, quintuple, sextuple and septuple
  • 36 is the smallest number (besides 1) which is both square and triangular
  • 36 is the smallest square that is the sum of a twin prime pair: 17 and 19
  • On the piano, 36 is the number of black keys
  • 36 is the smallest number containing all the digits when raised to the 10th power
  • 36 is the smallest number n such that n and 2n end with the same two digits
  • 36 is the smallest abundant square number
  • 36 is the smallest abundant triangular number

Rare Properties of 36

Square

Common Properties of 36

Abundant
Composite
Even
Evil
Powerful
Practical
Triangular
Ulam