97108992 has 132 divisors (see below), whose sum is σ = 288356796. Its totient is φ = 31457280.

The previous prime is 97108969. The next prime is 97108993. The reversal of 97108992 is 29980179.

It can be written as a sum of positive squares in 2 ways, for example, as 53231616 + 43877376 = 7296^2 + 6624^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (97108993) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 377728 + ... + 377984.

Almost surely, 2^97108992 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 97108992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144178398).

97108992 is an abundant number, since it is smaller than the sum of its proper divisors (191247804).

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

97108992 is a wasteful number, since it uses less digits than its factorization.

97108992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 45.

The square root of 97108992 is about 9854.3894788059. The cubic root of 97108992 is about 459.6421160904.

The spelling of 97108992 in words is "ninety-seven million, one hundred eight thousand, nine hundred ninety-two".