45564 has 12 divisors (see below), whose sum is σ = 106344. Its totient is φ = 15184.

The previous prime is 45557. The next prime is 45569. The reversal of 45564 is 46554.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45569) by changing a digit.

45564 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1887 + ... + 1910.

It is an arithmetic number, because the mean of its divisors is an integer number (8862).

2⁴⁵⁵⁶⁴ is an apocalyptic number.

It is an amenable number.

45564 is an abundant number, since it is smaller than the sum of its proper divisors (60780).

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 (53172).

45564 is a wasteful number, since it uses less digits than its factorization.

45564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3804 (or 3802 counting only the distinct ones).

The product of its digits is 2400, while the sum is 24.

The square root of 45564 is about 213.4572556743. The cubic root of 45564 is about 35.7169156159.

Subtracting 45564 from its reverse (46554), we obtain a triangular number (990 = T₄₄).

It can be divided in two parts, 4556 and 4, that added together give a triangular number (4560 = T₉₅).

The spelling of 45564 in words is "forty-five thousand, five hundred sixty-four".