36556 has 24 divisors (see below), whose sum is σ = 74480. Its totient is φ = 15552.

The previous prime is 36551. The next prime is 36559. The reversal of 36556 is 65563.

36556 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×36556² = 2672682272, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 36556.

It is not an unprimeable number, because it can be changed into a prime (36551) 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, 970 + ... + 1006.

2³⁶⁵⁵⁶ is an apocalyptic number.

It is an amenable number.

36556 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (37240).

36556 is a wasteful number, since it uses less digits than its factorization.

36556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 71 counting only the distinct ones).

The product of its digits is 2700, while the sum is 25.

The square root of 36556 is about 191.1962342725. The cubic root of 36556 is about 33.1883929038.

Subtracting from 36556 its product of digits (2700), we obtain a square (33856 = 184²).

The spelling of 36556 in words is "thirty-six thousand, five hundred fifty-six".