97535872 has 48 divisors (see below), whose sum is σ = 226048320. Its totient is φ = 41798400.

The previous prime is 97535863. The next prime is 97535899. The reversal of 97535872 is 27853579.

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, 1504 + ... + 14047.

It is an arithmetic number, because the mean of its divisors is an integer number (4709340).

Almost surely, 2^97535872 is an apocalyptic number.

It is an amenable number.

97535872 is an abundant number, since it is smaller than the sum of its proper divisors (128512448).

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

97535872 is a wasteful number, since it uses less digits than its factorization.

97535872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15579 (or 15560 counting only the distinct ones).

The product of its digits is 529200, while the sum is 46.

The square root of 97535872 is about 9876.0251113492. The cubic root of 97535872 is about 460.3146429562.

It can be divided in two parts, 9753 and 5872, that added together give a 6-th power (15625 = 5⁶).

The spelling of 97535872 in words is "ninety-seven million, five hundred thirty-five thousand, eight hundred seventy-two".