82116 has 18 divisors (see below), whose sum is σ = 207662. Its totient is φ = 27360.

The previous prime is 82073. The next prime is 82129. The reversal of 82116 is 61128.

It can be written as a sum of positive squares in only one way, i.e., 72900 + 9216 = 270^2 + 96^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a hoax number, since the sum of its digits (18) 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 (18).

It is an unprimeable 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 in 5 ways as a sum of consecutive naturals, for example, 1105 + ... + 1176.

2⁸²¹¹⁶ is an apocalyptic number.

It is an amenable number.

82116 is an abundant number, since it is smaller than the sum of its proper divisors (125546).

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

82116 is a wasteful number, since it uses less digits than its factorization.

82116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2291 (or 2286 counting only the distinct ones).

The product of its digits is 96, while the sum is 18.

The square root of 82116 is about 286.5588944702. The cubic root of 82116 is about 43.4652913780.

The spelling of 82116 in words is "eighty-two thousand, one hundred sixteen".