56865 has 16 divisors (see below), whose sum is σ = 96768. Its totient is φ = 28416.

The previous prime is 56857. The next prime is 56873.

56865 = T₄₀ + T₄₁ + ... + T₇₃.

56865 is nontrivially palindromic in base 10.

56865 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 an interprime number because it is at equal distance from previous prime (56857) and next prime (56873).

It is not a de Polignac number, because 56865 - 2³ = 56857 is a prime.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 144 + ... + 366.

It is an arithmetic number, because the mean of its divisors is an integer number (6048).

2⁵⁶⁸⁶⁵ is an apocalyptic number.

It is an amenable number.

56865 is a deficient number, since it is larger than the sum of its proper divisors (39903).

56865 is a wasteful number, since it uses less digits than its factorization.

56865 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248.

The product of its digits is 7200, while the sum is 30.

The square root of 56865 is about 238.4638337359. The cubic root of 56865 is about 38.4546043910.

The spelling of 56865 in words is "fifty-six thousand, eight hundred sixty-five".