45612 has 36 divisors (see below), whose sum is σ = 132496. Its totient is φ = 12960.

The previous prime is 45599. The next prime is 45613. The reversal of 45612 is 21654.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is a nialpdrome in base 6.

It is a zygodrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (45613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 162 + ... + 342.

2⁴⁵⁶¹² is an apocalyptic number.

45612 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66248).

45612 is an abundant number, since it is smaller than the sum of its proper divisors (86884).

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

45612 is a wasteful number, since it uses less digits than its factorization.

45612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 193 counting only the distinct ones).

The product of its digits is 240, while the sum is 18.

The square root of 45612 is about 213.5696607667. The cubic root of 45612 is about 35.7294533670.

The spelling of 45612 in words is "forty-five thousand, six hundred twelve".