11161 has 2 divisors, whose sum is σ = 11162. Its totient is φ = 11160.

The previous prime is 11159. The next prime is 11171. The reversal of 11161 is 16111.

11161 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an a-pointer prime, because the next prime (11171) can be obtained adding 11161 to its sum of digits (10).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6400 + 4761 = 80^2 + 69^2 .

It is an emirp because it is prime and its reverse (16111) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 11161 - 2¹ = 11159 is a prime.

Together with 11159, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (11131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5580 + 5581.

It is an arithmetic number, because the mean of its divisors is an integer number (5581).

2¹¹¹⁶¹ is an apocalyptic number.

It is an amenable number.

11161 is a deficient number, since it is larger than the sum of its proper divisors (1).

11161 is an equidigital number, since it uses as much as digits as its factorization.

11161 is an evil number, because the sum of its binary digits is even.

The product of its digits is 6, while the sum is 10.

The square root of 11161 is about 105.6456340792. The cubic root of 11161 is about 22.3477790752.

Adding to 11161 its reverse (16111), we get a palindrome (27272).

Subtracting 11161 from its reverse (16111), we obtain a triangular number (4950 = T₉₉).

It can be divided in two parts, 11 and 161, that multiplied together give a palindrome (1771).

The spelling of 11161 in words is "eleven thousand, one hundred sixty-one".