97012864 has 64 divisors (see below), whose sum is σ = 209958840. Its totient is φ = 44384256.

The previous prime is 97012849. The next prime is 97012913. The reversal of 97012864 is 46821079.

It can be written as a sum of positive squares in 4 ways, for example, as 77299264 + 19713600 = 8792^2 + 4440^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×97012864² = 18822991562964992, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 287704 + ... + 288040.

Almost surely, 2^97012864 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 97012864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104979420).

97012864 is an abundant number, since it is smaller than the sum of its proper divisors (112945976).

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

97012864 is a wasteful number, since it uses less digits than its factorization.

97012864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 37.

The square root of 97012864 is about 9849.5108507986. The cubic root of 97012864 is about 459.4903997429.

The spelling of 97012864 in words is "ninety-seven million, twelve thousand, eight hundred sixty-four".