97312896 has 96 divisors (see below), whose sum is σ = 296559900. Its totient is φ = 30523392.

The previous prime is 97312871. The next prime is 97312909. The reversal of 97312896 is 69821379.

It can be written as a sum of positive squares in 2 ways, for example, as 97298496 + 14400 = 9864^2 + 120^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17100 + ... + 22068.

Almost surely, 2^97312896 is an apocalyptic number.

97312896 is a gapful number since it is divisible by the number (96) 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 97312896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148279950).

97312896 is an abundant number, since it is smaller than the sum of its proper divisors (199247004).

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

97312896 is a wasteful number, since it uses less digits than its factorization.

97312896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5006 (or 4991 counting only the distinct ones).

The product of its digits is 163296, while the sum is 45.

The square root of 97312896 is about 9864.7299000023. The cubic root of 97312896 is about 459.9636014048.

The spelling of 97312896 in words is "ninety-seven million, three hundred twelve thousand, eight hundred ninety-six".