97115824 has 40 divisors (see below), whose sum is σ = 208129040. Its totient is φ = 43607808.

The previous prime is 97115819. The next prime is 97115857. The reversal of 97115824 is 42851179.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1387 + ... + 14005.

It is an arithmetic number, because the mean of its divisors is an integer number (5203226).

Almost surely, 2^97115824 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 97115824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104064520).

97115824 is an abundant number, since it is smaller than the sum of its proper divisors (111013216).

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

97115824 is a wasteful number, since it uses less digits than its factorization.

97115824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12677 (or 12671 counting only the distinct ones).

The product of its digits is 20160, while the sum is 37.

The square root of 97115824 is about 9854.7361202622. The cubic root of 97115824 is about 459.6528950486.

It can be divided in two parts, 97 and 115824, that added together give a triangular number (115921 = T₄₈₁).

The spelling of 97115824 in words is "ninety-seven million, one hundred fifteen thousand, eight hundred twenty-four".