97985916 has 192 divisors, whose sum is σ = 310517760. Its totient is φ = 26127360.

The previous prime is 97985903. The next prime is 97985933. The reversal of 97985916 is 61958979.

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 63 ways as a sum of consecutive naturals, for example, 867076 + ... + 867188.

It is an arithmetic number, because the mean of its divisors is an integer number (1617280).

Almost surely, 2^97985916 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 97985916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155258880).

97985916 is an abundant number, since it is smaller than the sum of its proper divisors (212531844).

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

97985916 is a wasteful number, since it uses less digits than its factorization.

97985916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 193 counting only the distinct ones).

The product of its digits is 1224720, while the sum is 54.

The square root of 97985916 is about 9898.7835616302. The cubic root of 97985916 is about 461.0215419624.

The spelling of 97985916 in words is "ninety-seven million, nine hundred eighty-five thousand, nine hundred sixteen".