84404 has 6 divisors (see below), whose sum is σ = 147714. Its totient is φ = 42200.

The previous prime is 84401. The next prime is 84407. The reversal of 84404 is 40448.

It is an interprime number because it is at equal distance from previous prime (84401) and next prime (84407).

It can be written as a sum of positive squares in only one way, i.e., 62500 + 21904 = 250^2 + 148^2 .

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 84404.

It is not an unprimeable number, because it can be changed into a prime (84401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10547 + ... + 10554.

It is an arithmetic number, because the mean of its divisors is an integer number (24619).

2⁸⁴⁴⁰⁴ is an apocalyptic number.

It is an amenable number.

84404 is a deficient number, since it is larger than the sum of its proper divisors (63310).

84404 is a wasteful number, since it uses less digits than its factorization.

84404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21105 (or 21103 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 84404 is about 290.5236651290. The cubic root of 84404 is about 43.8652904762.

Subtracting from 84404 its reverse (40448), we obtain a triangular number (43956 = T₂₉₆).

The spelling of 84404 in words is "eighty-four thousand, four hundred four".