97587952 has 120 divisors (see below), whose sum is σ = 250678400. Its totient is φ = 35925120.

The previous prime is 97587949. The next prime is 97587961. The reversal of 97587952 is 25978579.

It is a self number, because there is not a number n which added to its sum of digits gives 97587952.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 257299 + ... + 257677.

Almost surely, 2^97587952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97587952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125339200).

97587952 is an abundant number, since it is smaller than the sum of its proper divisors (153090448).

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

97587952 is a wasteful number, since it uses less digits than its factorization.

97587952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 418 counting only the distinct ones).

The product of its digits is 1587600, while the sum is 52.

The square root of 97587952 is about 9878.6614477873. The cubic root of 97587952 is about 460.3965578472.

The spelling of 97587952 in words is "ninety-seven million, five hundred eighty-seven thousand, nine hundred fifty-two".