84504 has 32 divisors (see below), whose sum is σ = 241920. Its totient is φ = 24096.

The previous prime is 84503. The next prime is 84509. The reversal of 84504 is 40548.

84504 = T₁₇ + T₁₈ + ... + T₇₉.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84503) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 84 + ... + 419.

It is an arithmetic number, because the mean of its divisors is an integer number (7560).

2⁸⁴⁵⁰⁴ is an apocalyptic number.

84504 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

84504 is an abundant number, since it is smaller than the sum of its proper divisors (157416).

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 (120960).

84504 is a wasteful number, since it uses less digits than its factorization.

84504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 84504 is about 290.6957172027. The cubic root of 84504 is about 43.8826071825.

Subtracting from 84504 its reverse (40548), we obtain a triangular number (43956 = T₂₉₆).

The spelling of 84504 in words is "eighty-four thousand, five hundred four".