Number of the day: 88565

Properties of the number 88565:

88565 is a cyclic number.
88565 = 5 × 17713 is semiprime and squarefree.
88565 has 2 distinct prime factors, 4 divisors, 7 antidivisors and 70848 totatives.
88565 = 44283² - 44282² = 8859² - 8854² is the difference of 2 nonnegative squares in 2 ways.
88565 is the difference of 2 positive pentagonal numbers in 2 ways.
88565 = 166² + 247² = 98² + 281² is the sum of 2 positive squares in 2 ways.
88565 = 23² + 40² + 294² is the sum of 3 positive squares.
88565² = 33453² + 82004² = 22440² + 85675² = 55076² + 69357² = 53139² + 70852² is the sum of 2 positive squares in 4 ways.
88565² is the sum of 3 positive squares.
88565 is a proper divisor of 1319⁵⁴ - 1.
88565 is an emirpimes in (at least) the following bases: 8, 13, 16, 18, 19, 20, 25, 26, 31, 32, 37, 40, 42, 43, 45, 49, 50, 53, 68, 72, 77, 81, 85, 86, 92, and 95.
88565 is palindromic in (at least) the following bases: 73, -56, and -77.
88565 in base 55 = TFF and consists of only the digits 'F' and 'T'.

The number 88565 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequence (among others):

Sequence number and description below are taken from OEIS.
A251737: Number of tilings of a 5 X n rectangle using n pentominoes of shapes L, U, I.