🦉 Owlet

← Back to archive

Owlet puzzle #53

Released Thursday, August 27, 2026 UTC

407
the answer for puzzle #53

The five clues

  1. A three-digit odd number greater than four hundred.
  2. A three-digit number of the form 11·p where p is a prime greater than thirty.
  3. The largest three-digit narcissistic number: equal to the sum of the cubes of its digits.
  4. One of only four three-digit narcissistic numbers, alongside 153, 370, and 371.
  5. Its factorization is 11 · 37.

Backstory

407 = 4³+0³+7³ is one of only four three-digit narcissistic numbers: 153, 370, 371, and 407. Its factorization 11 · 37 makes it composite, yet still fixed under the digit-cube map. Narcissistic numbers in base 10 are finite in count.

▶ Play puzzle #53 in practice mode

Or try today's fresh puzzle · Browse the full archive

More puzzles