205355164 has 48 divisors (see below), whose sum is σ = 420456960. Its totient is φ = 85942080.

The previous prime is 205355159. The next prime is 205355167. The reversal of 205355164 is 461553502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205355167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 325129 + ... + 325759.

It is an arithmetic number, because the mean of its divisors is an integer number (8759520).

Almost surely, 2^205355164 is an apocalyptic number.

It is an amenable number.

205355164 is an abundant number, since it is smaller than the sum of its proper divisors (215101796).

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

205355164 is a wasteful number, since it uses less digits than its factorization.

205355164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 898 (or 896 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 31.

The square root of 205355164 is about 14330.2185607896. The cubic root of 205355164 is about 589.9771742582.

The spelling of 205355164 in words is "two hundred five million, three hundred fifty-five thousand, one hundred sixty-four".