36564 has 24 divisors (see below), whose sum is σ = 93408. Its totient is φ = 11040.

The previous prime is 36563. The next prime is 36571. The reversal of 36564 is 46563.

36564 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 36564.

It is not an unprimeable number, because it can be changed into a prime (36563) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7 + ... + 270.

It is an arithmetic number, because the mean of its divisors is an integer number (3892).

2³⁶⁵⁶⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46704).

36564 is an abundant number, since it is smaller than the sum of its proper divisors (56844).

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

36564 is a wasteful number, since it uses less digits than its factorization.

36564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 293 counting only the distinct ones).

The product of its digits is 2160, while the sum is 24.

The square root of 36564 is about 191.2171540422. The cubic root of 36564 is about 33.1908137356.

Subtracting 36564 from its reverse (46563), we obtain a palindrome (9999).

The spelling of 36564 in words is "thirty-six thousand, five hundred sixty-four".