82284 has 12 divisors (see below), whose sum is σ = 192024. Its totient is φ = 27424.

The previous prime is 82279. The next prime is 82301. The reversal of 82284 is 48228.

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

It is an unprimeable number.

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, 3417 + ... + 3440.

It is an arithmetic number, because the mean of its divisors is an integer number (16002).

2⁸²²⁸⁴ is an apocalyptic number.

It is an amenable number.

82284 is an abundant number, since it is smaller than the sum of its proper divisors (109740).

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 (96012).

82284 is a wasteful number, since it uses less digits than its factorization.

82284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6864 (or 6862 counting only the distinct ones).

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

The square root of 82284 is about 286.8518781532. The cubic root of 82284 is about 43.4949128679.

The spelling of 82284 in words is "eighty-two thousand, two hundred eighty-four".