205956065 has 16 divisors (see below), whose sum is σ = 288220800. Its totient is φ = 141225840.

The previous prime is 205956043. The next prime is 205956083. The reversal of 205956065 is 560659502.

It is not a de Polignac number, because 205956065 - 2²⁶ = 138847201 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58331 + ... + 61760.

It is an arithmetic number, because the mean of its divisors is an integer number (18013800).

Almost surely, 2^205956065 is an apocalyptic number.

It is an amenable number.

205956065 is a deficient number, since it is larger than the sum of its proper divisors (82264735).

205956065 is an equidigital number, since it uses as much as digits as its factorization.

205956065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120117 (or 120103 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 38.

The square root of 205956065 is about 14351.1694645419. The cubic root of 205956065 is about 590.5520687268.

The spelling of 205956065 in words is "two hundred five million, nine hundred fifty-six thousand, sixty-five".