111791 has 2 divisors, whose sum is σ = 111792. Its totient is φ = 111790.

The previous prime is 111781. The next prime is 111799. The reversal of 111791 is 197111.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-111791 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (111799) 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, 55895 + 55896.

It is an arithmetic number, because the mean of its divisors is an integer number (55896).

2¹¹¹⁷⁹¹ is an apocalyptic number.

111791 is a deficient number, since it is larger than the sum of its proper divisors (1).

111791 is an equidigital number, since it uses as much as digits as its factorization.

111791 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 63, while the sum is 20.

The square root of 111791 is about 334.3516113315. The cubic root of 111791 is about 48.1728432964.

It can be divided in two parts, 11 and 1791, that multiplied together give a triangular number (19701 = T₁₉₈).

The spelling of 111791 in words is "one hundred eleven thousand, seven hundred ninety-one".