56655 has 12 divisors (see below), whose sum is σ = 98280. Its totient is φ = 30192.

The previous prime is 56633. The next prime is 56659. The reversal of 56655 is 55665.

56655 is a `hidden beast` number, since 5 + 6 + 655 = 666.

It is not a de Polignac number, because 56655 - 2⁶ = 56591 is a prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 56655.

It is not an unprimeable number, because it can be changed into a prime (56659) 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 11 ways as a sum of consecutive naturals, for example, 585 + ... + 674.

It is an arithmetic number, because the mean of its divisors is an integer number (8190).

2⁵⁶⁶⁵⁵ is an apocalyptic number.

56655 is a deficient number, since it is larger than the sum of its proper divisors (41625).

56655 is a wasteful number, since it uses less digits than its factorization.

56655 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1270 (or 1267 counting only the distinct ones).

The product of its digits is 4500, while the sum is 27.

The square root of 56655 is about 238.0231081219. The cubic root of 56655 is about 38.4072089330.

Subtracting from 56655 its reverse (55665), we obtain a triangular number (990 = T₄₄).

The spelling of 56655 in words is "fifty-six thousand, six hundred fifty-five".