97967584 has 96 divisors (see below), whose sum is σ = 230307840. Its totient is φ = 40435200.

The previous prime is 97967579. The next prime is 97967587. The reversal of 97967584 is 48576979.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97967587) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 361369 + ... + 361639.

It is an arithmetic number, because the mean of its divisors is an integer number (2399040).

Almost surely, 2^97967584 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 97967584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115153920).

97967584 is an abundant number, since it is smaller than the sum of its proper divisors (132340256).

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

97967584 is a wasteful number, since it uses less digits than its factorization.

97967584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 376 counting only the distinct ones).

The product of its digits is 3810240, while the sum is 55.

The square root of 97967584 is about 9897.8575459541. The cubic root of 97967584 is about 460.9927896194.

The spelling of 97967584 in words is "ninety-seven million, nine hundred sixty-seven thousand, five hundred eighty-four".