205664307 has 8 divisors (see below), whose sum is σ = 275189184. Its totient is φ = 136624488.

The previous prime is 205664297. The next prime is 205664363. The reversal of 205664307 is 703466502.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 205664307 - 2⁸ = 205664051 is a prime.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (205664387) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 120273 + ... + 121970.

It is an arithmetic number, because the mean of its divisors is an integer number (34398648).

Almost surely, 2^205664307 is an apocalyptic number.

205664307 is a deficient number, since it is larger than the sum of its proper divisors (69524877).

205664307 is a wasteful number, since it uses less digits than its factorization.

205664307 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242529.

The product of its (nonzero) digits is 30240, while the sum is 33.

The square root of 205664307 is about 14341.0009064918. Note that the first 3 decimals coincide. The cubic root of 205664307 is about 590.2730776484.

The spelling of 205664307 in words is "two hundred five million, six hundred sixty-four thousand, three hundred seven".