22563 has 12 divisors (see below), whose sum is σ = 34320. Its totient is φ = 14256.

The previous prime is 22549. The next prime is 22567. The reversal of 22563 is 36522.

It is not a de Polignac number, because 22563 - 2⁵ = 22531 is a prime.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (22567) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 153 + ... + 261.

It is an arithmetic number, because the mean of its divisors is an integer number (2860).

2²²⁵⁶³ is an apocalyptic number.

22563 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

22563 is a deficient number, since it is larger than the sum of its proper divisors (11757).

22563 is a wasteful number, since it uses less digits than its factorization.

22563 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 135 counting only the distinct ones).

The product of its digits is 360, while the sum is 18.

The square root of 22563 is about 150.2098532054. The cubic root of 22563 is about 28.2574053210.

It can be divided in two parts, 22 and 563, that added together give a palindrome (585).

The spelling of 22563 in words is "twenty-two thousand, five hundred sixty-three".