328564305 has 24 divisors (see below), whose sum is σ = 571170600. Its totient is φ = 174723840.

The previous prime is 328564303. The next prime is 328564307. The reversal of 328564305 is 503465823.

It is a happy number.

328564305 is a `hidden beast` number, since 3 + 2 + 8 + 5 + 643 + 0 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (328564303) and next prime (328564307).

It can be written as a sum of positive squares in 4 ways, for example, as 91527489 + 237036816 = 9567^2 + 15396^2 .

It is not a de Polignac number, because 328564305 - 2¹ = 328564303 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 328564305.

It is not an unprimeable number, because it can be changed into a prime (328564303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5245 + ... + 26165.

It is an arithmetic number, because the mean of its divisors is an integer number (23798775).

Almost surely, 2^328564305 is an apocalyptic number.

It is an amenable number.

328564305 is a deficient number, since it is larger than the sum of its proper divisors (242606295).

328564305 is a wasteful number, since it uses less digits than its factorization.

328564305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21281 (or 21278 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 328564305 is about 18126.3428468072. The cubic root of 328564305 is about 690.0387186843.

The spelling of 328564305 in words is "three hundred twenty-eight million, five hundred sixty-four thousand, three hundred five".