45747 has 24 divisors (see below), whose sum is σ = 78624. Its totient is φ = 25344.

The previous prime is 45737. The next prime is 45751. The reversal of 45747 is 74754.

It is not a de Polignac number, because 45747 - 2⁸ = 45491 is a prime.

It is an Ulam number.

Its product of digits (3920) is a multiple of the sum of its prime divisors (56).

It is a self number, because there is not a number n which added to its sum of digits gives 45747.

It is not an unprimeable number, because it can be changed into a prime (45707) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1978 + ... + 2000.

It is an arithmetic number, because the mean of its divisors is an integer number (3276).

2⁴⁵⁷⁴⁷ is an apocalyptic number.

45747 is a deficient number, since it is larger than the sum of its proper divisors (32877).

45747 is a wasteful number, since it uses less digits than its factorization.

45747 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59 (or 56 counting only the distinct ones).

The product of its digits is 3920, while the sum is 27.

The square root of 45747 is about 213.8854833784. The cubic root of 45747 is about 35.7646686996.

The spelling of 45747 in words is "forty-five thousand, seven hundred forty-seven".