97588992 has 72 divisors (see below), whose sum is σ = 268172800. Its totient is φ = 31472640.

The previous prime is 97588991. The next prime is 97588999. The reversal of 97588992 is 29988579.

It is a super-2 number, since 2×97588992² = 19047222719152128, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97588991) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21759 + ... + 25857.

Almost surely, 2^97588992 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 97588992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134086400).

97588992 is an abundant number, since it is smaller than the sum of its proper divisors (170583808).

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

97588992 is a wasteful number, since it uses less digits than its factorization.

97588992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4149 (or 4135 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 57.

The square root of 97588992 is about 9878.7140863576. The cubic root of 97588992 is about 460.3981933316.

The spelling of 97588992 in words is "ninety-seven million, five hundred eighty-eight thousand, nine hundred ninety-two".