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 84

  • 84 is the smallest number that can be expressed as the sum of 3 distinct primes raised to distinct prime exponents: 84 = 25 + 33 + 52
  • 84 is the smallest area of integer-sided triangle whose area equals twice its perimeter
  • 84 is the smallest multidigit (and the only 2-digit) number n such that the sum of digits of n equals the sum of prime divisors of n

Rare Properties of 84

Tetrahedral (Pyramidal)

Common Properties of 84