84882 has 32 divisors (see below), whose sum is σ = 202752. Its totient is φ = 23184.

The previous prime is 84871. The next prime is 84913. The reversal of 84882 is 28848.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is an unprimeable number.

84882 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1783 + ... + 1829.

It is an arithmetic number, because the mean of its divisors is an integer number (6336).

2⁸⁴⁸⁸² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84882, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101376).

84882 is an abundant number, since it is smaller than the sum of its proper divisors (117870).

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

84882 is a wasteful number, since it uses less digits than its factorization.

84882 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102.

The product of its digits is 4096, while the sum is 30.

The square root of 84882 is about 291.3451561293. The cubic root of 84882 is about 43.9479411855.

It can be divided in two parts, 84 and 882, that multiplied together give a cube (74088 = 42³).

The spelling of 84882 in words is "eighty-four thousand, eight hundred eighty-two".