97104384 has 120 divisors (see below), whose sum is σ = 301993692. Its totient is φ = 29859840.

The previous prime is 97104353. The next prime is 97104389. The reversal of 97104384 is 48340179.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 96825600 + 278784 = 9840^2 + 528^2 .

It is a super-2 number, since 2×97104384² = 18858522784038912, which contains 22 as substring.

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 (97104389) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59094 + ... + 60714.

Almost surely, 2^97104384 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 97104384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150996846).

97104384 is an abundant number, since it is smaller than the sum of its proper divisors (204889308).

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

97104384 is a wasteful number, since it uses less digits than its factorization.

97104384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1658 (or 1639 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 97104384 is about 9854.1556715936. The cubic root of 97104384 is about 459.6348456879.

The spelling of 97104384 in words is "ninety-seven million, one hundred four thousand, three hundred eighty-four".