206565 has 16 divisors (see below), whose sum is σ = 338688. Its totient is φ = 107456.

The previous prime is 206551. The next prime is 206593. The reversal of 206565 is 565602.

It is a cyclic number.

It is not a de Polignac number, because 206565 - 2⁶ = 206501 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 206565.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 559 + ... + 851.

It is an arithmetic number, because the mean of its divisors is an integer number (21168).

2²⁰⁶⁵⁶⁵ is an apocalyptic number.

It is an amenable number.

206565 is a deficient number, since it is larger than the sum of its proper divisors (132123).

206565 is a wasteful number, since it uses less digits than its factorization.

206565 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348.

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 206565 is about 454.4942243857. The cubic root of 206565 is about 59.1133509881.

The spelling of 206565 in words is "two hundred six thousand, five hundred sixty-five".