11191 has 6 divisors (see below), whose sum is σ = 12192. Its totient is φ = 10260.

The previous prime is 11177. The next prime is 11197. The reversal of 11191 is 19111.

It is not a de Polignac number, because 11191 - 2⁵ = 11159 is a prime.

It is a Duffinian number.

It is a plaindrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11197) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 346 + ... + 376.

It is an arithmetic number, because the mean of its divisors is an integer number (2032).

2¹¹¹⁹¹ is an apocalyptic number.

11191 is a deficient number, since it is larger than the sum of its proper divisors (1001).

11191 is an equidigital number, since it uses as much as digits as its factorization.

11191 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 50 counting only the distinct ones).

The product of its digits is 9, while the sum is 13.

The square root of 11191 is about 105.7875228938. The cubic root of 11191 is about 22.3677842592.

It can be divided in two parts, 111 and 91, that multiplied together give a palindrome (10101).

The spelling of 11191 in words is "eleven thousand, one hundred ninety-one".