82071 has 12 divisors (see below), whose sum is σ = 129480. Its totient is φ = 49680.

The previous prime is 82067. The next prime is 82073. The reversal of 82071 is 17028.

82071 is nontrivially palindromic in base 12.

It is not a de Polignac number, because 82071 - 2² = 82067 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82073) 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 in 11 ways as a sum of consecutive naturals, for example, 316 + ... + 513.

It is an arithmetic number, because the mean of its divisors is an integer number (10790).

2⁸²⁰⁷¹ is an apocalyptic number.

82071 is a deficient number, since it is larger than the sum of its proper divisors (47409).

82071 is a wasteful number, since it uses less digits than its factorization.

82071 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 846 (or 843 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 82071 is about 286.4803658194. The cubic root of 82071 is about 43.4573501911.

Adding to 82071 its reverse (17028), we get a palindrome (99099).

The spelling of 82071 in words is "eighty-two thousand, seventy-one".