56764 has 12 divisors (see below), whose sum is σ = 103824. Its totient is φ = 27104.

The previous prime is 56747. The next prime is 56767. The reversal of 56764 is 46765.

It is a plaindrome in base 6.

It is a zygodrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 217 + ... + 400.

It is an arithmetic number, because the mean of its divisors is an integer number (8652).

2⁵⁶⁷⁶⁴ is an apocalyptic number.

It is an amenable number.

56764 is a deficient number, since it is larger than the sum of its proper divisors (47060).

56764 is a wasteful number, since it uses less digits than its factorization.

56764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 642 counting only the distinct ones).

The product of its digits is 5040, while the sum is 28.

The square root of 56764 is about 238.2519674630. The cubic root of 56764 is about 38.4318240236.

Subtracting from 56764 its reverse (46765), we obtain a palindrome (9999).

It can be divided in two parts, 56 and 764, that added together give a triangular number (820 = T₄₀).

The spelling of 56764 in words is "fifty-six thousand, seven hundred sixty-four".