65565 has 24 divisors (see below), whose sum is σ = 119808. Its totient is φ = 33120.

The previous prime is 65563. The next prime is 65579. The reversal of 65565 is 56556.

65565 is a `hidden beast` number, since 655 + 6 + 5 = 666.

It is not a de Polignac number, because 65565 - 2¹ = 65563 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1372 + ... + 1418.

It is an arithmetic number, because the mean of its divisors is an integer number (4992).

2⁶⁵⁵⁶⁵ is an apocalyptic number.

It is an amenable number.

65565 is a deficient number, since it is larger than the sum of its proper divisors (54243).

65565 is a wasteful number, since it uses less digits than its factorization.

65565 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 86 counting only the distinct ones).

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

The square root of 65565 is about 256.0566343604. The cubic root of 65565 is about 40.3234196127.

Subtracting from 65565 its reverse (56556), we obtain a palindrome (9009).

It can be divided in two parts, 6556 and 5, that added together give a 8-th power (6561 = 3⁸).

The spelling of 65565 in words is "sixty-five thousand, five hundred sixty-five".