205216564 has 12 divisors (see below), whose sum is σ = 410433184. Its totient is φ = 87949944.

The previous prime is 205216507. The next prime is 205216577. The reversal of 205216564 is 465612502.

205216564 is an admirable number.

It is a super-2 number, since 2×205216564² = 84227676279932192, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3664554 + ... + 3664609.

Almost surely, 2^205216564 is an apocalyptic number.

It is an amenable number.

205216564 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

205216564 is a wasteful number, since it uses less digits than its factorization.

205216564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7329174 (or 7329172 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

The square root of 205216564 is about 14325.3818099205. The cubic root of 205216564 is about 589.8444136332.

The spelling of 205216564 in words is "two hundred five million, two hundred sixteen thousand, five hundred sixty-four".