117167 has 2 divisors, whose sum is σ = 117168. Its totient is φ = 117166.

The previous prime is 117163. The next prime is 117191. The reversal of 117167 is 761711.

It is a weak prime.

It is an emirp because it is prime and its reverse (761711) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 117167 - 2² = 117163 is a prime.

It is a Chen prime.

It is a nialpdrome in base 7.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (117163) 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, 58583 + 58584.

It is an arithmetic number, because the mean of its divisors is an integer number (58584).

2¹¹⁷¹⁶⁷ is an apocalyptic number.

117167 is a deficient number, since it is larger than the sum of its proper divisors (1).

117167 is an equidigital number, since it uses as much as digits as its factorization.

117167 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 294, while the sum is 23.

The square root of 117167 is about 342.2966549647. The cubic root of 117167 is about 48.9329918447.

Adding to 117167 its reverse (761711), we get a palindrome (878878).

The spelling of 117167 in words is "one hundred seventeen thousand, one hundred sixty-seven".