363972564 has 18 divisors (see below), whose sum is σ = 920041850. Its totient is φ = 121324176.

The previous prime is 363972551. The next prime is 363972577. The reversal of 363972564 is 465279363.

363972564 is a `hidden beast` number, since 3 + 6 + 397 + 256 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (363972551) and next prime (363972577).

It can be written as a sum of positive squares in only one way, i.e., 235376964 + 128595600 = 15342^2 + 11340^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5055139 + ... + 5055210.

Almost surely, 2^363972564 is an apocalyptic number.

It is an amenable number.

363972564 is an abundant number, since it is smaller than the sum of its proper divisors (556069286).

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

363972564 is a wasteful number, since it uses less digits than its factorization.

363972564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10110359 (or 10110354 counting only the distinct ones).

The product of its digits is 816480, while the sum is 45.

The square root of 363972564 is about 19078.0649962201. The cubic root of 363972564 is about 713.9857587254.

The spelling of 363972564 in words is "three hundred sixty-three million, nine hundred seventy-two thousand, five hundred sixty-four".