97404 has 12 divisors (see below), whose sum is σ = 227304. Its totient is φ = 32464.

The previous prime is 97397. The next prime is 97423. The reversal of 97404 is 40479.

97404 = 100² + 101² + ... + 108².

It is a tau number, because it is divible by the number of its divisors (12).

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 97404.

It is an unprimeable number.

97404 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 3 ways as a sum of consecutive naturals, for example, 4047 + ... + 4070.

It is an arithmetic number, because the mean of its divisors is an integer number (18942).

2⁹⁷⁴⁰⁴ is an apocalyptic number.

It is an amenable number.

97404 is an abundant number, since it is smaller than the sum of its proper divisors (129900).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113652).

97404 is a wasteful number, since it uses less digits than its factorization.

97404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8124 (or 8122 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 97404 is about 312.0961390341. The cubic root of 97404 is about 46.0107095417.

The spelling of 97404 in words is "ninety-seven thousand, four hundred four".