205908 has 12 divisors (see below), whose sum is σ = 480480. Its totient is φ = 68632.

The previous prime is 205883. The next prime is 205913. The reversal of 205908 is 809502.

It is a tau number, because it is divible by the number of its divisors (12).

It is a congruent number.

It is an unprimeable number.

205908 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8568 + ... + 8591.

It is an arithmetic number, because the mean of its divisors is an integer number (40040).

2²⁰⁵⁹⁰⁸ is an apocalyptic number.

It is an amenable number.

205908 is an abundant number, since it is smaller than the sum of its proper divisors (274572).

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

205908 is a wasteful number, since it uses less digits than its factorization.

205908 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17166 (or 17164 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 205908 is about 453.7708672888. The cubic root of 205908 is about 59.0506125120.

The spelling of 205908 in words is "two hundred five thousand, nine hundred eight".