97993872 has 60 divisors (see below), whose sum is σ = 280101120. Its totient is φ = 31967424.

The previous prime is 97993837. The next prime is 97993901. The reversal of 97993872 is 27839979.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 472 + ... + 14007.

It is an arithmetic number, because the mean of its divisors is an integer number (4668352).

Almost surely, 2^97993872 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 97993872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140050560).

97993872 is an abundant number, since it is smaller than the sum of its proper divisors (182107248).

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

97993872 is a wasteful number, since it uses less digits than its factorization.

97993872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14540 (or 14531 counting only the distinct ones).

The product of its digits is 1714608, while the sum is 54.

The square root of 97993872 is about 9899.1854210334. The cubic root of 97993872 is about 461.0340192254.

The spelling of 97993872 in words is "ninety-seven million, nine hundred ninety-three thousand, eight hundred seventy-two".