97835904 has 64 divisors (see below), whose sum is σ = 288762000. Its totient is φ = 32610816.

The previous prime is 97835869. The next prime is 97835911. The reversal of 97835904 is 40953879.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×97835904² = 19143728222994432, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 97835904.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10699 + ... + 17610.

Almost surely, 2^97835904 is an apocalyptic number.

It is an amenable number.

97835904 is an abundant number, since it is smaller than the sum of its proper divisors (190926096).

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

97835904 is a wasteful number, since it uses less digits than its factorization.

97835904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28332 (or 28314 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 97835904 is about 9891.2033646064. The cubic root of 97835904 is about 460.7861540979.

The spelling of 97835904 in words is "ninety-seven million, eight hundred thirty-five thousand, nine hundred four".