8111 has 2 divisors, whose sum is σ = 8112. Its totient is φ = 8110.

The previous prime is 8101. The next prime is 8117. The reversal of 8111 is 1118.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-8111 is a prime.

It is a Sophie Germain prime.

8111 is a modest number, since divided by 111 gives 8 as remainder.

It is a plaindrome in base 13.

It is a nialpdrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 8092 and 8101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (8117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4055 + 4056.

It is an arithmetic number, because the mean of its divisors is an integer number (4056).

2⁸¹¹¹ is an apocalyptic number.

8111 is a deficient number, since it is larger than the sum of its proper divisors (1).

8111 is an equidigital number, since it uses as much as digits as its factorization.

8111 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 8, while the sum is 11.

The square root of 8111 is about 90.0610903776. The cubic root of 8111 is about 20.0920754550.

Subtracting from 8111 its sum of digits (11), we obtain a square (8100 = 90²).

Adding to 8111 its reverse (1118), we get a palindrome (9229).

It can be divided in two parts, 8 and 111, that multiplied together give a palindrome (888).

The spelling of 8111 in words is "eight thousand, one hundred eleven".