84084 has 72 divisors (see below), whose sum is σ = 268128. Its totient is φ = 20160.

The previous prime is 84067. The next prime is 84089. The reversal of 84084 is 48048.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84089) 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 23 ways as a sum of consecutive naturals, for example, 6462 + ... + 6474.

It is an arithmetic number, because the mean of its divisors is an integer number (3724).

2⁸⁴⁰⁸⁴ is an apocalyptic number.

84084 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134064).

84084 is an abundant number, since it is smaller than the sum of its proper divisors (184044).

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

84084 is a wasteful number, since it uses less digits than its factorization.

84084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45 (or 36 counting only the distinct ones).

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

The square root of 84084 is about 289.9724124809. The cubic root of 84084 is about 43.8097849326.

The spelling of 84084 in words is "eighty-four thousand, eighty-four".