45556 has 12 divisors (see below), whose sum is σ = 91168. Its totient is φ = 19512.

The previous prime is 45553. The next prime is 45557. The reversal of 45556 is 65554.

45556 is an admirable number.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a plaindrome in base 10 and base 12.

It is a nialpdrome in base 15.

It is a zygodrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 45556.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45553) by changing a digit.

It is an upside-down number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 786 + ... + 841.

2⁴⁵⁵⁵⁶ is an apocalyptic number.

It is an amenable number.

45556 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 (45584).

45556 is a wasteful number, since it uses less digits than its factorization.

45556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1638 (or 1636 counting only the distinct ones).

The product of its digits is 3000, while the sum is 25.

The square root of 45556 is about 213.4385157370. The cubic root of 45556 is about 35.7148251347.

The spelling of 45556 in words is "forty-five thousand, five hundred fifty-six".