11117 has 2 divisors, whose sum is σ = 11118. Its totient is φ = 11116.

The previous prime is 11113. The next prime is 11119. The reversal of 11117 is 71111.

11117 is an esthetic number in base 5, because in such base its adjacent digits differ by 1.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7396 + 3721 = 86^2 + 61^2 .

It is a cyclic number.

It is not a de Polignac number, because 11117 - 2² = 11113 is a prime.

Together with 11119, it forms a pair of twin primes.

It is a Chen prime.

It is a plaindrome in base 8 and base 10.

It is a junction number, because it is equal to n+sod(n) for n = 11098 and 11107.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5558 + 5559.

It is an arithmetic number, because the mean of its divisors is an integer number (5559).

2¹¹¹¹⁷ is an apocalyptic number.

It is an amenable number.

11117 is a deficient number, since it is larger than the sum of its proper divisors (1).

11117 is an equidigital number, since it uses as much as digits as its factorization.

11117 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 7, while the sum is 11.

The square root of 11117 is about 105.4371850914. The cubic root of 11117 is about 22.3183731894.

Adding to 11117 its reverse (71111), we get a palindrome (82228).

It can be divided in two parts, 1111 and 7, that multiplied together give a palindrome (7777).

The spelling of 11117 in words is "eleven thousand, one hundred seventeen", and thus it is an iban number.