97684104 has 64 divisors (see below), whose sum is σ = 280794240. Its totient is φ = 27740160.

The previous prime is 97684087. The next prime is 97684121. The reversal of 97684104 is 40148679.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (97684087) and next prime (97684121).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 27384 + ... + 30744.

It is an arithmetic number, because the mean of its divisors is an integer number (4387410).

Almost surely, 2^97684104 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 97684104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140397120).

97684104 is an abundant number, since it is smaller than the sum of its proper divisors (183110136).

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

97684104 is a wasteful number, since it uses less digits than its factorization.

97684104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3550 (or 3546 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 97684104 is about 9883.5269008588. The cubic root of 97684104 is about 460.5477155738.

The spelling of 97684104 in words is "ninety-seven million, six hundred eighty-four thousand, one hundred four".