56565 has 16 divisors (see below), whose sum is σ = 100800. Its totient is φ = 30096.

The previous prime is 56543. The next prime is 56569.

56565 is a `hidden beast` number, since 5 + 656 + 5 = 666.

56565 is nontrivially palindromic in base 10.

56565 is an esthetic number in base 10, because in such base its adjacent digits differ by 1.

It is not a de Polignac number, because 56565 - 2⁵ = 56533 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an alternating number because its digits alternate between odd and even.

56565 is an undulating number in base 10.

It is a Curzon number.

56565 is a lucky number.

It is a plaindrome in base 12.

It is a nialpdrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56569) 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 15 ways as a sum of consecutive naturals, for example, 75 + ... + 344.

It is an arithmetic number, because the mean of its divisors is an integer number (6300).

2⁵⁶⁵⁶⁵ is an apocalyptic number.

It is an amenable number.

56565 is a deficient number, since it is larger than the sum of its proper divisors (44235).

56565 is a wasteful number, since it uses less digits than its factorization.

56565 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 427 counting only the distinct ones).

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

The square root of 56565 is about 237.8339757057. The cubic root of 56565 is about 38.3868607390.

It can be divided in two parts, 565 and 65, that added together give a triangular number (630 = T₃₅).

The spelling of 56565 in words is "fifty-six thousand, five hundred sixty-five".