56745 has 24 divisors (see below), whose sum is σ = 107016. Its totient is φ = 27648.

The previous prime is 56737. The next prime is 56747. The reversal of 56745 is 54765.

56745 is nontrivially palindromic in base 8.

It can be written as a sum of positive squares in 4 ways, for example, as 576 + 56169 = 24^2 + 237^2 .

It is not a de Polignac number, because 56745 - 2³ = 56737 is a prime.

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

It is a nialpdrome in base 16.

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 56745.

It is not an unprimeable number, because it can be changed into a prime (56747) 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, 537 + ... + 633.

It is an arithmetic number, because the mean of its divisors is an integer number (4459).

2⁵⁶⁷⁴⁵ is an apocalyptic number.

It is an amenable number.

56745 is a deficient number, since it is larger than the sum of its proper divisors (50271).

56745 is a wasteful number, since it uses less digits than its factorization.

56745 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 118 counting only the distinct ones).

The product of its digits is 4200, while the sum is 27.

The square root of 56745 is about 238.2120903733. The cubic root of 56745 is about 38.4275355888.

The spelling of 56745 in words is "fifty-six thousand, seven hundred forty-five".