82711 has 4 divisors (see below), whose sum is σ = 83592. Its totient is φ = 81832.

The previous prime is 82699. The next prime is 82721. The reversal of 82711 is 11728.

82711 is nontrivially palindromic in base 15.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is not a de Polignac number, because 82711 - 2¹⁵ = 49943 is a prime.

It is a super-2 number, since 2×82711² = 13682219042, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82721) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 280 + ... + 493.

It is an arithmetic number, because the mean of its divisors is an integer number (20898).

2⁸²⁷¹¹ is an apocalyptic number.

82711 is a deficient number, since it is larger than the sum of its proper divisors (881).

82711 is a wasteful number, since it uses less digits than its factorization.

82711 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 880.

The product of its digits is 112, while the sum is 19.

The square root of 82711 is about 287.5952016290. The cubic root of 82711 is about 43.5700197904.

It can be divided in two parts, 827 and 11, that added together give a palindrome (838).

The spelling of 82711 in words is "eighty-two thousand, seven hundred eleven".