82111 has 4 divisors (see below), whose sum is σ = 82792. Its totient is φ = 81432.

The previous prime is 82073. The next prime is 82129. The reversal of 82111 is 11128.

82111 is an esthetic number in base 11, because in such base its adjacent digits differ by 1.

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 a de Polignac number, because none of the positive numbers 2^k-82111 is a prime.

It is a Duffinian number.

82111 is a modest number, since divided by 111 gives 82 as remainder.

82111 is a lucky number.

It is a nialpdrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 82091 and 82100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82141) 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, 105 + ... + 418.

It is an arithmetic number, because the mean of its divisors is an integer number (20698).

2⁸²¹¹¹ is an apocalyptic number.

82111 is a deficient number, since it is larger than the sum of its proper divisors (681).

82111 is a wasteful number, since it uses less digits than its factorization.

82111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680.

The product of its digits is 16, while the sum is 13.

The square root of 82111 is about 286.5501701273. The cubic root of 82111 is about 43.4644091672.

Adding to 82111 its reverse (11128), we get a palindrome (93239).

The spelling of 82111 in words is "eighty-two thousand, one hundred eleven".