97874304 has 256 divisors, whose sum is σ = 317260800. Its totient is φ = 26378240.

The previous prime is 97874299. The next prime is 97874311. The reversal of 97874304 is 40347879.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2082409 + ... + 2082455.

It is an arithmetic number, because the mean of its divisors is an integer number (1239300).

Almost surely, 2^97874304 is an apocalyptic number.

97874304 is a gapful number since it is divisible by the number (94) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97874304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158630400).

97874304 is an abundant number, since it is smaller than the sum of its proper divisors (219386496).

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

97874304 is a wasteful number, since it uses less digits than its factorization.

97874304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The square root of 97874304 is about 9893.1442928929. The cubic root of 97874304 is about 460.8464314710.

The spelling of 97874304 in words is "ninety-seven million, eight hundred seventy-four thousand, three hundred four".