22536 has 24 divisors (see below), whose sum is σ = 61230. Its totient is φ = 7488.

The previous prime is 22531. The next prime is 22541. The reversal of 22536 is 63522.

22536 is nontrivially palindromic in base 5.

22536 is an esthetic number in base 5, because in such base its adjacent digits differ by 1.

It is an interprime number because it is at equal distance from previous prime (22531) and next prime (22541).

It can be written as a sum of positive squares in only one way, i.e., 22500 + 36 = 150^2 + 6^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a d-powerful number, because it can be written as 2 + 2¹³ + 5 + 3⁸ + 6⁵ .

It is not an unprimeable number, because it can be changed into a prime (22531) by changing a digit.

22536 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 85 + ... + 228.

2²²⁵³⁶ is an apocalyptic number.

It is an amenable number.

22536 is an abundant number, since it is smaller than the sum of its proper divisors (38694).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22536 is a wasteful number, since it uses less digits than its factorization.

22536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 318 counting only the distinct ones).

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

The square root of 22536 is about 150.1199520384. The cubic root of 22536 is about 28.2461294198.

It can be divided in two parts, 225 and 36, that multiplied together give a square (8100 = 90²).

The spelling of 22536 in words is "twenty-two thousand, five hundred thirty-six".