45745 has 8 divisors (see below), whose sum is σ = 62784. Its totient is φ = 31344.

The previous prime is 45737. The next prime is 45751. The reversal of 45745 is 54754.

45745 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 45745 - 2³ = 45737 is a prime.

It is a Duffinian number.

45745 is a lucky number.

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, 619 + ... + 688.

It is an arithmetic number, because the mean of its divisors is an integer number (7848).

2⁴⁵⁷⁴⁵ is an apocalyptic number.

It is an amenable number.

45745 is a deficient number, since it is larger than the sum of its proper divisors (17039).

45745 is a wasteful number, since it uses less digits than its factorization.

45745 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1319.

The product of its digits is 2800, while the sum is 25.

The square root of 45745 is about 213.8808079282. The cubic root of 45745 is about 35.7641474969.

Subtracting 45745 from its reverse (54754), we obtain a palindrome (9009).

The spelling of 45745 in words is "forty-five thousand, seven hundred forty-five".