45924 has 24 divisors (see below), whose sum is σ = 110880. Its totient is φ = 14784.

The previous prime is 45893. The next prime is 45943. The reversal of 45924 is 42954.

45924 is nontrivially palindromic in base 9.

45924 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 45894 and 45903.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 45924.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 472 + ... + 560.

It is an arithmetic number, because the mean of its divisors is an integer number (4620).

2⁴⁵⁹²⁴ is an apocalyptic number.

It is an amenable number.

45924 is an abundant number, since it is smaller than the sum of its proper divisors (64956).

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 (55440).

45924 is a wasteful number, since it uses less digits than its factorization.

45924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 137 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 45924 is about 214.2988567398. The cubic root of 45924 is about 35.8107351055.

It can be divided in two parts, 45 and 924, that added together give a palindrome (969).

The spelling of 45924 in words is "forty-five thousand, nine hundred twenty-four".