205746564 has 12 divisors (see below), whose sum is σ = 480075344. Its totient is φ = 68582184.

The previous prime is 205746557. The next prime is 205746571. The reversal of 205746564 is 465647502.

It is an interprime number because it is at equal distance from previous prime (205746557) and next prime (205746571).

It is a tau number, because it is divible by the number of its divisors (12).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8572762 + ... + 8572785.

Almost surely, 2^205746564 is an apocalyptic number.

It is an amenable number.

205746564 is an abundant number, since it is smaller than the sum of its proper divisors (274328780).

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

205746564 is a wasteful number, since it uses less digits than its factorization.

205746564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17145554 (or 17145552 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 39.

The square root of 205746564 is about 14343.8685158502. The cubic root of 205746564 is about 590.3517618912.

The spelling of 205746564 in words is "two hundred five million, seven hundred forty-six thousand, five hundred sixty-four".