208565 has 16 divisors (see below), whose sum is σ = 293760. Its totient is φ = 139200.

The previous prime is 208553. The next prime is 208577. The reversal of 208565 is 565802.

It is an interprime number because it is at equal distance from previous prime (208553) and next prime (208577).

It is not a de Polignac number, because 208565 - 2⁶ = 208501 is a prime.

It is a congruent number.

It is an unprimeable number.

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, 2015 + ... + 2115.

It is an arithmetic number, because the mean of its divisors is an integer number (18360).

2²⁰⁸⁵⁶⁵ is an apocalyptic number.

It is an amenable number.

208565 is a deficient number, since it is larger than the sum of its proper divisors (85195).

208565 is a wasteful number, since it uses less digits than its factorization.

208565 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172.

The product of its (nonzero) digits is 2400, while the sum is 26.

The square root of 208565 is about 456.6891721948. The cubic root of 208565 is about 59.3035206314.

The spelling of 208565 in words is "two hundred eight thousand, five hundred sixty-five".