97835104 has 48 divisors (see below), whose sum is σ = 208278000. Its totient is φ = 45080064.

The previous prime is 97835093. The next prime is 97835117. The reversal of 97835104 is 40153879.

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

It is a congruent number.

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, 20322 + ... + 24670.

It is an arithmetic number, because the mean of its divisors is an integer number (4339125).

Almost surely, 2^97835104 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 97835104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104139000).

97835104 is an abundant number, since it is smaller than the sum of its proper divisors (110442896).

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

97835104 is a wasteful number, since it uses less digits than its factorization.

97835104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4415 (or 4407 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 37.

The square root of 97835104 is about 9891.1629245504. The cubic root of 97835104 is about 460.7848981515.

The spelling of 97835104 in words is "ninety-seven million, eight hundred thirty-five thousand, one hundred four".