Number of the day: 90563

Properties of the number 90563:

90563 is a cyclic number.
90563 = 11 × 8233 is semiprime and squarefree.
90563 has 2 distinct prime factors, 4 divisors, 51 antidivisors and 82320 totatives.
90563 has a prime digit sum 23 in base 10.
Reversing the decimal digits of 90563 results in an emirpimes.
90563 = 45282² - 45281² = 4122² - 4111² is the difference of 2 nonnegative squares in 2 ways.
90563 is the difference of 2 positive pentagonal numbers in 2 ways.
90563 = 15² + 67² + 293² is the sum of 3 positive squares.
90563² = 39875² + 81312² is the sum of 2 positive squares in 1 way.
90563² is the sum of 3 positive squares.
90563 is a proper divisor of 353⁵⁶ - 1.
90563 is an emirpimes in (at least) the following bases: 4, 7, 8, 9, 10, 11, 15, 16, 20, 23, 26, 29, 30, 33, 36, 38, 46, 51, 53, 55, 59, 60, 63, 64, 68, 71, 73, 76, 79, 89, 91, 95, and 96.
90563 is palindromic in (at least) the following bases: 88, and -47.

The number 90563 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequence (among others):

Sequence number and description below are taken from OEIS.
A229257: O.g.f.: Sum_{n>=0} x^n / Product_{k=1..n} (1 - n^2*k*x).