97133664 has 96 divisors (see below), whose sum is σ = 266305536. Its totient is φ = 30965760.

The previous prime is 97133657. The next prime is 97133711. The reversal of 97133664 is 46633179.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 377824 + ... + 378080.

It is an arithmetic number, because the mean of its divisors is an integer number (2774016).

Almost surely, 2^97133664 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 97133664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133152768).

97133664 is an abundant number, since it is smaller than the sum of its proper divisors (169171872).

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

97133664 is a wasteful number, since it uses less digits than its factorization.

97133664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 420 counting only the distinct ones).

The product of its digits is 81648, while the sum is 39.

The square root of 97133664 is about 9855.6412272363. The cubic root of 97133664 is about 459.6810391253.

The spelling of 97133664 in words is "ninety-seven million, one hundred thirty-three thousand, six hundred sixty-four".