33564 has 12 divisors (see below), whose sum is σ = 78344. Its totient is φ = 11184.

The previous prime is 33563. The next prime is 33569. The reversal of 33564 is 46533.

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-2 number, since 2×33564² = 2253084192, which contains 22 as substring.

It is a plaindrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 33564.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33563) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1387 + ... + 1410.

2³³⁵⁶⁴ is an apocalyptic number.

It is an amenable number.

33564 is an abundant number, since it is smaller than the sum of its proper divisors (44780).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39172).

33564 is a wasteful number, since it uses less digits than its factorization.

33564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2804 (or 2802 counting only the distinct ones).

The product of its digits is 1080, while the sum is 21.

The square root of 33564 is about 183.2048034305. The cubic root of 33564 is about 32.2570443118.

The spelling of 33564 in words is "thirty-three thousand, five hundred sixty-four".