97965936 has 140 divisors (see below), whose sum is σ = 293562312. Its totient is φ = 31632768.

The previous prime is 97965929. The next prime is 97965961. The reversal of 97965936 is 63956979.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 431455 + ... + 431681.

Almost surely, 2^97965936 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 97965936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146781156).

97965936 is an abundant number, since it is smaller than the sum of its proper divisors (195596376).

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

97965936 is a wasteful number, since it uses less digits than its factorization.

97965936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 269 counting only the distinct ones).

The product of its digits is 2755620, while the sum is 54.

The square root of 97965936 is about 9897.7742952646. The cubic root of 97965936 is about 460.9902046814.

The spelling of 97965936 in words is "ninety-seven million, nine hundred sixty-five thousand, nine hundred thirty-six".