84512 has 24 divisors (see below), whose sum is σ = 176400. Its totient is φ = 39744.

The previous prime is 84509. The next prime is 84521. The reversal of 84512 is 21548.

Its product of digits (320) is a multiple of the sum of its prime divisors (160).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 539 + ... + 677.

It is an arithmetic number, because the mean of its divisors is an integer number (7350).

2⁸⁴⁵¹² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88200).

84512 is an abundant number, since it is smaller than the sum of its proper divisors (91888).

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

84512 is a wasteful number, since it uses less digits than its factorization.

84512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 160 counting only the distinct ones).

The product of its digits is 320, while the sum is 20.

The square root of 84512 is about 290.7094769697. The cubic root of 84512 is about 43.8839919287.

The spelling of 84512 in words is "eighty-four thousand, five hundred twelve".