5769

5769 = 3 x 3 x 641.

5769 is the number of permutations of nine elements that have a third power equal to the identity permutation (A001470).

5769 is the number of binary strings of length 14 with no substrings equal to 0001 or 1000 (A164398).

5769 has a representation as a sum of two squares: 5679 = 12² + 75².

5769 divides 100¹⁶ - 1.

5769 is the number of (unordered) ways of making change for n cents using coins of 1/2, 1, 2, 3, 5, 10, 20, 25, 50, and 100 cents (all historical U.S. coinage denominations up to 100 cents (A067997).

Source: What's Special About This Number?