45636 has 12 divisors (see below), whose sum is σ = 106512. Its totient is φ = 15208.

The previous prime is 45631. The next prime is 45641. The reversal of 45636 is 63654.

It is an interprime number because it is at equal distance from previous prime (45631) and next prime (45641).

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

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (45631) 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, 1890 + ... + 1913.

It is an arithmetic number, because the mean of its divisors is an integer number (8876).

2⁴⁵⁶³⁶ is an apocalyptic number.

It is an amenable number.

45636 is an abundant number, since it is smaller than the sum of its proper divisors (60876).

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 (53256).

45636 is a wasteful number, since it uses less digits than its factorization.

45636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3810 (or 3808 counting only the distinct ones).

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

The square root of 45636 is about 213.6258411335. The cubic root of 45636 is about 35.7357189442.

The spelling of 45636 in words is "forty-five thousand, six hundred thirty-six".