84804 has 24 divisors (see below), whose sum is σ = 204288. Its totient is φ = 27360.

The previous prime is 84793. The next prime is 84809. The reversal of 84804 is 40848.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 84804.

It is not an unprimeable number, because it can be changed into a prime (84809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 349 + ... + 539.

It is an arithmetic number, because the mean of its divisors is an integer number (8512).

2⁸⁴⁸⁰⁴ is an apocalyptic number.

It is an amenable number.

84804 is an abundant number, since it is smaller than the sum of its proper divisors (119484).

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 (102144).

84804 is a wasteful number, since it uses less digits than its factorization.

84804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 84804 is about 291.2112635184. The cubic root of 84804 is about 43.9344754725.

Subtracting from 84804 its reverse (40848), we obtain a triangular number (43956 = T₂₉₆).

It can be divided in two parts, 84 and 804, that added together give a palindrome (888).

The spelling of 84804 in words is "eighty-four thousand, eight hundred four".