82684 has 12 divisors (see below), whose sum is σ = 165424. Its totient is φ = 35424.

The previous prime is 82657. The next prime is 82699. The reversal of 82684 is 48628.

82684 is an admirable number.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28), and also a Moran number because the ratio is a prime number: 2953 = 82684 / (8 + 2 + 6 + 8 + 4).

It is a congruent number.

It is an unprimeable number.

82684 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 3 ways as a sum of consecutive naturals, for example, 1449 + ... + 1504.

2⁸²⁶⁸⁴ is an apocalyptic number.

It is an amenable number.

82684 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (82712).

82684 is a wasteful number, since it uses less digits than its factorization.

82684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2964 (or 2962 counting only the distinct ones).

The product of its digits is 3072, while the sum is 28.

The square root of 82684 is about 287.5482568196. The cubic root of 82684 is about 43.5652783067.

The spelling of 82684 in words is "eighty-two thousand, six hundred eighty-four".