82271 has 12 divisors (see below), whose sum is σ = 101232. Its totient is φ = 66528.

The previous prime is 82267. The next prime is 82279. The reversal of 82271 is 17228.

It is not a de Polignac number, because 82271 - 2² = 82267 is a prime.

It is a Duffinian number.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82279) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1091 + ... + 1163.

It is an arithmetic number, because the mean of its divisors is an integer number (8436).

2⁸²²⁷¹ is an apocalyptic number.

82271 is a deficient number, since it is larger than the sum of its proper divisors (18961).

82271 is a wasteful number, since it uses less digits than its factorization.

82271 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 103 counting only the distinct ones).

The product of its digits is 224, while the sum is 20.

The square root of 82271 is about 286.8292174797. The cubic root of 82271 is about 43.4926221688.

Adding to 82271 its reverse (17228), we get a palindrome (99499).

It can be divided in two parts, 8227 and 1, that added together give a palindrome (8228).

The spelling of 82271 in words is "eighty-two thousand, two hundred seventy-one".