97857984 has 112 divisors (see below), whose sum is σ = 313383168. Its totient is φ = 26308608.

The previous prime is 97857959. The next prime is 97857997. The reversal of 97857984 is 48975879.

It is a tau number, because it is divible by the number of its divisors (112).

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, 20707 + ... + 24989.

It is an arithmetic number, because the mean of its divisors is an integer number (2798064).

Almost surely, 2^97857984 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 97857984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156691584).

97857984 is an abundant number, since it is smaller than the sum of its proper divisors (215525184).

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

97857984 is a wasteful number, since it uses less digits than its factorization.

97857984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4322 (or 4312 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 57.

The square root of 97857984 is about 9892.3194449027. The cubic root of 97857984 is about 460.8208155142.

The spelling of 97857984 in words is "ninety-seven million, eight hundred fifty-seven thousand, nine hundred eighty-four".