22564 has 6 divisors (see below), whose sum is σ = 39494. Its totient is φ = 11280.

The previous prime is 22549. The next prime is 22567. The reversal of 22564 is 46522.

It can be written as a sum of positive squares in only one way, i.e., 22500 + 64 = 150^2 + 8^2 .

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

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2817 + ... + 2824.

2²²⁵⁶⁴ is an apocalyptic number.

It is an amenable number.

22564 is a deficient number, since it is larger than the sum of its proper divisors (16930).

22564 is a wasteful number, since it uses less digits than its factorization.

22564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5645 (or 5643 counting only the distinct ones).

The product of its digits is 480, while the sum is 19.

The square root of 22564 is about 150.2131818450. The cubic root of 22564 is about 28.2578227742.

It can be divided in two parts, 225 and 64, that multiplied together give a square (14400 = 120²).

The spelling of 22564 in words is "twenty-two thousand, five hundred sixty-four".