5167 has 2 divisors, whose sum is σ = 5168. Its totient is φ = 5166.

The previous prime is 5153. The next prime is 5171. The reversal of 5167 is 7615.

It is a strong prime.

5167 is a truncatable prime.

It is a cyclic number.

It is not a de Polignac number, because 5167 - 2⁷ = 5039 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (5107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2583 + 2584.

It is an arithmetic number, because the mean of its divisors is an integer number (2584).

2⁵¹⁶⁷ is an apocalyptic number.

5167 is the 42-nd hex number.

5167 is a deficient number, since it is larger than the sum of its proper divisors (1).

5167 is an equidigital number, since it uses as much as digits as its factorization.

5167 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 210, while the sum is 19.

The square root of 5167 is about 71.8818474999. The cubic root of 5167 is about 17.2880557290.

The spelling of 5167 in words is "five thousand, one hundred sixty-seven".