56635 has 8 divisors (see below), whose sum is σ = 69696. Its totient is φ = 44160.

The previous prime is 56633. The next prime is 56659. The reversal of 56635 is 53665.

56635 is nontrivially palindromic in base 6.

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

It is not a de Polignac number, because 56635 - 2¹ = 56633 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (56633) 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 7 ways as a sum of consecutive naturals, for example, 115 + ... + 355.

It is an arithmetic number, because the mean of its divisors is an integer number (8712).

2⁵⁶⁶³⁵ is an apocalyptic number.

56635 is a deficient number, since it is larger than the sum of its proper divisors (13061).

56635 is a wasteful number, since it uses less digits than its factorization.

56635 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293.

The product of its digits is 2700, while the sum is 25.

The square root of 56635 is about 237.9810916859. The cubic root of 56635 is about 38.4026889755.

Subtracting from 56635 its product of digits (2700), we obtain a palindrome (53935).

The spelling of 56635 in words is "fifty-six thousand, six hundred thirty-five".