97924104 has 48 divisors (see below), whose sum is σ = 266997120. Its totient is φ = 32421600.

The previous prime is 97924069. The next prime is 97924109. The reversal of 97924104 is 40142979.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (97924109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6369 + ... + 15375.

It is an arithmetic number, because the mean of its divisors is an integer number (5562440).

Almost surely, 2^97924104 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 97924104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133498560).

97924104 is an abundant number, since it is smaller than the sum of its proper divisors (169073016).

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

97924104 is a wasteful number, since it uses less digits than its factorization.

97924104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9170 (or 9163 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 97924104 is about 9895.6608672690. The cubic root of 97924104 is about 460.9245802120.

The spelling of 97924104 in words is "ninety-seven million, nine hundred twenty-four thousand, one hundred four".