8167 has 2 divisors, whose sum is σ = 8168. Its totient is φ = 8166.

The previous prime is 8161. The next prime is 8171. The reversal of 8167 is 7618.

It is a strong prime.

8167 is a truncatable prime.

It is a cyclic number.

It is not a de Polignac number, because 8167 - 2⁷ = 8039 is a prime.

It is an Ulam number.

It is an alternating number because its digits alternate between even and odd.

It is a zygodrome in base 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (8161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4083 + 4084.

It is an arithmetic number, because the mean of its divisors is an integer number (4084).

2⁸¹⁶⁷ is an apocalyptic number.

8167 is a deficient number, since it is larger than the sum of its proper divisors (1).

8167 is an equidigital number, since it uses as much as digits as its factorization.

8167 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 336, while the sum is 22.

The square root of 8167 is about 90.3714556705. The cubic root of 8167 is about 20.1382093751.

The spelling of 8167 in words is "eight thousand, one hundred sixty-seven".