205912 has 16 divisors (see below), whose sum is σ = 441360. Its totient is φ = 88224.

The previous prime is 205883. The next prime is 205913. The reversal of 205912 is 219502.

It is a super-3 number, since 3×205912³ = 26191853043331584, which contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 205912.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205913) by changing a digit.

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, 1783 + ... + 1894.

It is an arithmetic number, because the mean of its divisors is an integer number (27585).

2²⁰⁵⁹¹² is an apocalyptic number.

It is an amenable number.

205912 is an abundant number, since it is smaller than the sum of its proper divisors (235448).

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

205912 is a wasteful number, since it uses less digits than its factorization.

205912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3690 (or 3686 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 205912 is about 453.7752747782. The cubic root of 205912 is about 59.0509948849.

The spelling of 205912 in words is "two hundred five thousand, nine hundred twelve".