565506 has 24 divisors (see below), whose sum is σ = 1242540. Its totient is φ = 185856.

The previous prime is 565489. The next prime is 565507. The reversal of 565506 is 605565.

565506 is a `hidden beast` number, since 5 + 655 + 0 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 540225 + 25281 = 735^2 + 159^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 565506.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 565506.

It is not an unprimeable number, because it can be changed into a prime (565507) 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 11 ways as a sum of consecutive naturals, for example, 1426 + ... + 1778.

2⁵⁶⁵⁵⁰⁶ is an apocalyptic number.

565506 is an abundant number, since it is smaller than the sum of its proper divisors (677034).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

565506 is a wasteful number, since it uses less digits than its factorization.

565506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 447 counting only the distinct ones).

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

The square root of 565506 is about 752.0013297861. The cubic root of 565506 is about 82.6949658865.

The spelling of 565506 in words is "five hundred sixty-five thousand, five hundred six".