12167 has 4 divisors (see below), whose sum is σ = 12720. Its totient is φ = 11638.

The previous prime is 12163. The next prime is 12197. The reversal of 12167 is 76121.

It is a happy number.

The cubic root of 12167 is 23.

It is a perfect power (a cube), and thus also a powerful number.

It is not a de Polignac number, because 12167 - 2² = 12163 is a prime.

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

It is a Duffinian number.

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12161) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 518 + ... + 540.

It is an arithmetic number, because the mean of its divisors is an integer number (3180).

12167 is a Friedman number, since it can be written as (17+6)^(2+1), using all its digits and the basic arithmetic operations.

2¹²¹⁶⁷ is an apocalyptic number.

12167 is a deficient number, since it is larger than the sum of its proper divisors (553).

12167 is an frugal number, since it uses more digits than its factorization.

12167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 23 counting only the distinct ones).

The product of its digits is 84, while the sum is 17.

The square root of 12167 is about 110.3041250362.

Adding to 12167 its reverse (76121), we get a palindrome (88288).

The spelling of 12167 in words is "twelve thousand, one hundred sixty-seven".