97966528 has 56 divisors (see below), whose sum is σ = 217864944. Its totient is φ = 43315200.

The previous prime is 97966501. The next prime is 97966559. The reversal of 97966528 is 82566979.

It is a happy number.

It is a congruent number.

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, 24168 + ... + 27928.

Almost surely, 2^97966528 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 97966528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108932472).

97966528 is an abundant number, since it is smaller than the sum of its proper divisors (119898416).

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

97966528 is a wasteful number, since it uses less digits than its factorization.

97966528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3821 (or 3811 counting only the distinct ones).

The product of its digits is 1632960, while the sum is 52.

The square root of 97966528 is about 9897.8042009326. The cubic root of 97966528 is about 460.9911332547.

The spelling of 97966528 in words is "ninety-seven million, nine hundred sixty-six thousand, five hundred twenty-eight".