11111117 has 2 divisors, whose sum is σ = 11111118. Its totient is φ = 11111116.

The previous prime is 11111101. The next prime is 11111119. The reversal of 11111117 is 71111111.

11111117 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11062276 + 48841 = 3326^2 + 221^2 .

It is an emirp because it is prime and its reverse (71111111) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 11111117 - 2⁴ = 11111101 is a prime.

Together with 11111119, it forms a pair of twin primes.

It is a Chen prime.

It is a plaindrome in base 10.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11111119) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5555558 + 5555559.

It is an arithmetic number, because the mean of its divisors is an integer number (5555559).

Almost surely, 2^11111117 is an apocalyptic number.

It is an amenable number.

11111117 is a deficient number, since it is larger than the sum of its proper divisors (1).

11111117 is an equidigital number, since it uses as much as digits as its factorization.

11111117 is an evil number, because the sum of its binary digits is even.

The product of its digits is 7, while the sum is 14.

The square root of 11111117 is about 3333.3342166665. The cubic root of 11111117 is about 223.1443561162.

Adding to 11111117 its reverse (71111111), we get a palindrome (82222228).

It can be divided in two parts, 1111111 and 7, that multiplied together give a palindrome (7777777).

The spelling of 11111117 in words is "eleven million, one hundred eleven thousand, one hundred seventeen".