97957664 has 36 divisors (see below), whose sum is σ = 224344134. Its totient is φ = 41981184.

The previous prime is 97957661. The next prime is 97957687. The reversal of 97957664 is 46675979.

It can be written as a sum of positive squares in only one way, i.e., 82810000 + 15147664 = 9100^2 + 3892^2 .

It is not an unprimeable number, because it can be changed into a prime (97957661) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 29669 + ... + 32804.

Almost surely, 2^97957664 is an apocalyptic number.

It is an amenable number.

97957664 is an abundant number, since it is smaller than the sum of its proper divisors (126386470).

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

97957664 is a wasteful number, since it uses less digits than its factorization.

97957664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62497 (or 62482 counting only the distinct ones).

The product of its digits is 2857680, while the sum is 53.

The square root of 97957664 is about 9897.3564147200. The cubic root of 97957664 is about 460.9772293607.

The spelling of 97957664 in words is "ninety-seven million, nine hundred fifty-seven thousand, six hundred sixty-four".