205384113 has 32 divisors (see below), whose sum is σ = 336516480. Its totient is φ = 122757120.

The previous prime is 205384099. The next prime is 205384171. The reversal of 205384113 is 311483502.

It is a happy number.

It is not a de Polignac number, because 205384113 - 2²⁵ = 171829681 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (205384513) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16945 + ... + 26417.

It is an arithmetic number, because the mean of its divisors is an integer number (10516140).

Almost surely, 2^205384113 is an apocalyptic number.

It is an amenable number.

205384113 is a deficient number, since it is larger than the sum of its proper divisors (131132367).

205384113 is a wasteful number, since it uses less digits than its factorization.

205384113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9566 (or 9560 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 205384113 is about 14331.2285935296. The cubic root of 205384113 is about 590.0048960620.

The spelling of 205384113 in words is "two hundred five million, three hundred eighty-four thousand, one hundred thirteen".