82884 has 12 divisors (see below), whose sum is σ = 193424. Its totient is φ = 27624.

The previous prime is 82883. The next prime is 82889. The reversal of 82884 is 48828.

It is a tau number, because it is divible by the number of its divisors (12).

It is not an unprimeable number, because it can be changed into a prime (82883) 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 3 ways as a sum of consecutive naturals, for example, 3442 + ... + 3465.

2⁸²⁸⁸⁴ is an apocalyptic number.

It is an amenable number.

82884 is an abundant number, since it is smaller than the sum of its proper divisors (110540).

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 (96712).

82884 is a wasteful number, since it uses less digits than its factorization.

82884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6914 (or 6912 counting only the distinct ones).

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

The square root of 82884 is about 287.8958144885. The cubic root of 82884 is about 43.6003759472.

The spelling of 82884 in words is "eighty-two thousand, eight hundred eighty-four".