111611 has 2 divisors, whose sum is σ = 111612. Its totient is φ = 111610.

The previous prime is 111599. The next prime is 111623. The reversal of 111611 is 116111.

It is a balanced prime because it is at equal distance from previous prime (111599) and next prime (111623).

It is a cyclic number.

It is not a de Polignac number, because 111611 - 2¹⁰ = 110587 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 111592 and 111601.

It is not a weakly prime, because it can be changed into another prime (111641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55805 + 55806.

It is an arithmetic number, because the mean of its divisors is an integer number (55806).

2¹¹¹⁶¹¹ is an apocalyptic number.

111611 is a deficient number, since it is larger than the sum of its proper divisors (1).

111611 is an equidigital number, since it uses as much as digits as its factorization.

111611 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6, while the sum is 11.

The square root of 111611 is about 334.0823251835. The cubic root of 111611 is about 48.1469742792.

Adding to 111611 its reverse (116111), we get a palindrome (227722).

The spelling of 111611 in words is "one hundred eleven thousand, six hundred eleven".