82084 has 6 divisors (see below), whose sum is σ = 143654. Its totient is φ = 41040.

The previous prime is 82073. The next prime is 82129. The reversal of 82084 is 48028.

It can be written as a sum of positive squares in only one way, i.e., 73984 + 8100 = 272^2 + 90^2 .

It is an unprimeable number.

82084 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 as a sum of consecutive naturals, namely, 10257 + ... + 10264.

2⁸²⁰⁸⁴ is an apocalyptic number.

It is an amenable number.

82084 is a deficient number, since it is larger than the sum of its proper divisors (61570).

82084 is a wasteful number, since it uses less digits than its factorization.

82084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20525 (or 20523 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

The square root of 82084 is about 286.5030540849. The cubic root of 82084 is about 43.4596446098.

The spelling of 82084 in words is "eighty-two thousand, eighty-four".