167117 has 2 divisors, whose sum is σ = 167118. Its totient is φ = 167116.

The previous prime is 167113. The next prime is 167119. The reversal of 167117 is 711761.

167117 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., 155236 + 11881 = 394^2 + 109^2 .

It is a cyclic number.

It is not a de Polignac number, because 167117 - 2² = 167113 is a prime.

Together with 167119, it forms a pair of twin primes.

It is a Chen prime.

It is a plaindrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 167092 and 167101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (167113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 83558 + 83559.

It is an arithmetic number, because the mean of its divisors is an integer number (83559).

2¹⁶⁷¹¹⁷ is an apocalyptic number.

It is an amenable number.

167117 is a deficient number, since it is larger than the sum of its proper divisors (1).

167117 is an equidigital number, since it uses as much as digits as its factorization.

167117 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 167117 is about 408.7994618392. The cubic root of 167117 is about 55.0816418365.

Adding to 167117 its reverse (711761), we get a palindrome (878878).

Subtracting 167117 from its reverse (711761), we obtain a square (544644 = 738²).

The spelling of 167117 in words is "one hundred sixty-seven thousand, one hundred seventeen".