45837 has 12 divisors (see below), whose sum is σ = 72384. Its totient is φ = 27720.

The previous prime is 45833. The next prime is 45841. The reversal of 45837 is 73854.

45837 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (45833) and next prime (45841).

It is not a de Polignac number, because 45837 - 2² = 45833 is a prime.

Its product of digits (3360) is a multiple of the sum of its prime factors (480).

It is a self number, because there is not a number n which added to its sum of digits gives 45837.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 45837.

It is not an unprimeable number, because it can be changed into a prime (45833) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 133 + ... + 330.

It is an arithmetic number, because the mean of its divisors is an integer number (6032).

2⁴⁵⁸³⁷ is an apocalyptic number.

It is an amenable number.

45837 is a deficient number, since it is larger than the sum of its proper divisors (26547).

45837 is a wasteful number, since it uses less digits than its factorization.

45837 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 477 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 45837 is about 214.0957729615. The cubic root of 45837 is about 35.7881071156.

The spelling of 45837 in words is "forty-five thousand, eight hundred thirty-seven".