56337 has 8 divisors (see below), whose sum is σ = 76320. Its totient is φ = 36960.

The previous prime is 56333. The next prime is 56359. The reversal of 56337 is 73365.

56337 is nontrivially palindromic in base 14.

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

It is not a de Polignac number, because 56337 - 2² = 56333 is a prime.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (56333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 162 + ... + 372.

It is an arithmetic number, because the mean of its divisors is an integer number (9540).

2⁵⁶³³⁷ is an apocalyptic number.

It is an amenable number.

56337 is a deficient number, since it is larger than the sum of its proper divisors (19983).

56337 is a wasteful number, since it uses less digits than its factorization.

56337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303.

The product of its digits is 1890, while the sum is 24.

The square root of 56337 is about 237.3541657524. The cubic root of 56337 is about 38.3352151985.

It can be divided in two parts, 56 and 337, that added together give a palindrome (393).

The spelling of 56337 in words is "fifty-six thousand, three hundred thirty-seven".