3167 has 2 divisors, whose sum is σ = 3168. Its totient is φ = 3166.

The previous prime is 3163. The next prime is 3169. The reversal of 3167 is 7613.

It is a strong prime.

3167 is a truncatable prime.

It is a cyclic number.

It is not a de Polignac number, because 3167 - 2² = 3163 is a prime.

Together with 3169, it forms a pair of twin primes.

It is a Chen prime.

It is a d-powerful number, because it can be written as 3⁶ + 6² + 1 + 7⁴ .

It is a plaindrome in base 6, base 12 and base 14.

It is a zygodrome in base 3.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3163) by changing a digit.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1583 + 1584.

It is an arithmetic number, because the mean of its divisors is an integer number (1584).

3167 is a deficient number, since it is larger than the sum of its proper divisors (1).

3167 is an equidigital number, since it uses as much as digits as its factorization.

It is an anagram of its base 8 representation: 3167 = (6137)₈.

3167 is an evil number, because the sum of its binary digits is even.

The product of its digits is 126, while the sum is 17.

The square root of 3167 is about 56.2761050536. The cubic root of 3167 is about 14.6852954289.

It can be divided in two parts, 316 and 7, that added together give a palindrome (323).

The spelling of 3167 in words is "three thousand, one hundred sixty-seven".