96804 has 18 divisors (see below), whose sum is σ = 244790. Its totient is φ = 32256.

The previous prime is 96799. The next prime is 96821. The reversal of 96804 is 40869.

It can be written as a sum of positive squares in only one way, i.e., 57600 + 39204 = 240^2 + 198^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1309 + ... + 1380.

2⁹⁶⁸⁰⁴ is an apocalyptic number.

It is an amenable number.

96804 is an abundant number, since it is smaller than the sum of its proper divisors (147986).

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

96804 is a wasteful number, since it uses less digits than its factorization.

96804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2699 (or 2694 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 96804 is about 311.1334118991. The cubic root of 96804 is about 45.9160409282.

It can be divided in two parts, 96 and 804, that added together give a square (900 = 30²).

The spelling of 96804 in words is "ninety-six thousand, eight hundred four".