82168 has 8 divisors (see below), whose sum is σ = 154080. Its totient is φ = 41080.

The previous prime is 82163. The next prime is 82171. The reversal of 82168 is 86128.

It is a tau number, because it is divible by the number of its divisors (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82163) 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 as a sum of consecutive naturals, namely, 5128 + ... + 5143.

It is an arithmetic number, because the mean of its divisors is an integer number (19260).

2⁸²¹⁶⁸ is an apocalyptic number.

It is an amenable number.

82168 is a deficient number, since it is larger than the sum of its proper divisors (71912).

82168 is a wasteful number, since it uses less digits than its factorization.

82168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10277 (or 10273 counting only the distinct ones).

The product of its digits is 768, while the sum is 25.

The square root of 82168 is about 286.6496118958. The cubic root of 82168 is about 43.4744642482.

The spelling of 82168 in words is "eighty-two thousand, one hundred sixty-eight".