Number Gossip

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Unique Properties of 289

  • 289 is the smallest number for which the absolute values of the abundances of itself, its square and its cube are all prime numbers
  • 289 is the largest 3-digit square with increasing digits (submitted by Alexey Radul)
  • 289 is the smallest number with all different non-zero digits such that when it is divided by its digits the remainder is the same non-zero number: when 289 is divided by 2, 8, or 9, the remainder is 1

Rare Properties of 289

Square

Common Properties of 289

Composite
Deficient
Lucky
Odd
Odious
Powerful