56137 has 4 divisors (see below), whose sum is σ = 56980. Its totient is φ = 55296.

The previous prime is 56131. The next prime is 56149. The reversal of 56137 is 73165.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 73165 = 5 ⋅14633.

It can be written as a sum of positive squares in 2 ways, for example, as 26896 + 29241 = 164^2 + 171^2 .

It is a 4-Lehmer number, since φ(56137) divides (56137-1)⁴.

It is a cyclic number.

It is not a de Polignac number, because 56137 - 2⁷ = 56009 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (56131) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 312 + ... + 457.

It is an arithmetic number, because the mean of its divisors is an integer number (14245).

2⁵⁶¹³⁷ is an apocalyptic number.

It is an amenable number.

56137 is a deficient number, since it is larger than the sum of its proper divisors (843).

56137 is an equidigital number, since it uses as much as digits as its factorization.

56137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842.

The product of its digits is 630, while the sum is 22.

The square root of 56137 is about 236.9324798334. The cubic root of 56137 is about 38.2897972446.

The spelling of 56137 in words is "fifty-six thousand, one hundred thirty-seven".