206564 has 12 divisors (see below), whose sum is σ = 365484. Its totient is φ = 102144.

The previous prime is 206551. The next prime is 206593. The reversal of 206564 is 465602.

206564 is nontrivially palindromic in base 13.

206564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 78400 + 128164 = 280^2 + 358^2 .

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 206564.

It is an unprimeable number.

206564 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 224 + ... + 680.

It is an arithmetic number, because the mean of its divisors is an integer number (30457).

2²⁰⁶⁵⁶⁴ is an apocalyptic number.

It is an amenable number.

206564 is a deficient number, since it is larger than the sum of its proper divisors (158920).

206564 is a wasteful number, since it uses less digits than its factorization.

206564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 206564 is about 454.4931242604. The cubic root of 206564 is about 59.1132555969.

The spelling of 206564 in words is "two hundred six thousand, five hundred sixty-four".