208564 has 12 divisors (see below), whose sum is σ = 381024. Its totient is φ = 99704.

The previous prime is 208553. The next prime is 208577. The reversal of 208564 is 465802.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

208564 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, 1042 + ... + 1225.

It is an arithmetic number, because the mean of its divisors is an integer number (31752).

2²⁰⁸⁵⁶⁴ is an apocalyptic number.

It is an amenable number.

208564 is a deficient number, since it is larger than the sum of its proper divisors (172460).

208564 is a wasteful number, since it uses less digits than its factorization.

208564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2294 (or 2292 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 208564 is about 456.6880773570. The cubic root of 208564 is about 59.3034258510.

The spelling of 208564 in words is "two hundred eight thousand, five hundred sixty-four".