205808 has 20 divisors (see below), whose sum is σ = 420360. Its totient is φ = 97344.

The previous prime is 205783. The next prime is 205817. The reversal of 205808 is 808502.

205808 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 35 + ... + 642.

It is an arithmetic number, because the mean of its divisors is an integer number (21018).

2²⁰⁵⁸⁰⁸ is an apocalyptic number.

It is an amenable number.

205808 is an abundant number, since it is smaller than the sum of its proper divisors (214552).

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

205808 is a wasteful number, since it uses less digits than its factorization.

205808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 23.

The square root of 205808 is about 453.6606661371. The cubic root of 205808 is about 59.0410515795.

The spelling of 205808 in words is "two hundred five thousand, eight hundred eight".