12564 has 18 divisors (see below), whose sum is σ = 31850. Its totient is φ = 4176.

The previous prime is 12553. The next prime is 12569. The reversal of 12564 is 46521.

12564 = T₁₆ + T₁₇ + ... + T₄₂.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 11664 + 900 = 108^2 + 30^2 .

It is a tau number, because it is divible by the number of its divisors (18).

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

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12569) 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 in 5 ways as a sum of consecutive naturals, for example, 139 + ... + 210.

2¹²⁵⁶⁴ is an apocalyptic number.

It is an amenable number.

12564 is an abundant number, since it is smaller than the sum of its proper divisors (19286).

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

12564 is a wasteful number, since it uses less digits than its factorization.

It is an anagram of its base 7 representation: 12564 = (51426)₇.

12564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 354 counting only the distinct ones).

The product of its digits is 240, while the sum is 18.

The square root of 12564 is about 112.0892501536. The cubic root of 12564 is about 23.2474849864.

It can be divided in two parts, 125 and 64, that multiplied together give a cube (8000 = 20³).

The spelling of 12564 in words is "twelve thousand, five hundred sixty-four".