97564032 has 48 divisors (see below), whose sum is σ = 280753980. Its totient is φ = 32520960.

The previous prime is 97564001. The next prime is 97564063. The reversal of 97564032 is 23046579.

97564032 is a `hidden beast` number, since 9 + 7 + 5 + 640 + 3 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (97564001) and next prime (97564063).

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 41194 + ... + 43497.

Almost surely, 2^97564032 is an apocalyptic number.

It is an amenable number.

97564032 is an abundant number, since it is smaller than the sum of its proper divisors (183189948).

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

97564032 is a wasteful number, since it uses less digits than its factorization.

97564032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84711 (or 84696 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 97564032 is about 9877.4506832482. The cubic root of 97564032 is about 460.3589384986.

The spelling of 97564032 in words is "ninety-seven million, five hundred sixty-four thousand, thirty-two".