84984 has 16 divisors (see below), whose sum is σ = 212520. Its totient is φ = 28320.

The previous prime is 84979. The next prime is 84991. The reversal of 84984 is 48948.

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 84984.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1747 + ... + 1794.

2⁸⁴⁹⁸⁴ is an apocalyptic number.

It is an amenable number.

84984 is an abundant number, since it is smaller than the sum of its proper divisors (127536).

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 (106260).

84984 is a wasteful number, since it uses less digits than its factorization.

84984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3550 (or 3546 counting only the distinct ones).

The product of its digits is 9216, while the sum is 33.

The square root of 84984 is about 291.5201536772. The cubic root of 84984 is about 43.9655377534.

The spelling of 84984 in words is "eighty-four thousand, nine hundred eighty-four".