167267 has 2 divisors, whose sum is σ = 167268. Its totient is φ = 167266.

The previous prime is 167261. The next prime is 167269. The reversal of 167267 is 762761.

167267 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 is an emirp because it is prime and its reverse (762761) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 167267 - 2¹² = 163171 is a prime.

Together with 167269, it forms a pair of twin primes.

It is a Chen prime.

It is a d-powerful number, because it can be written as 1 + 6 + 2¹⁵ + 7⁵ + 6² + 7⁶ .

It is not a weakly prime, because it can be changed into another prime (167261) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 83633 + 83634.

It is an arithmetic number, because the mean of its divisors is an integer number (83634).

2¹⁶⁷²⁶⁷ is an apocalyptic number.

167267 is a deficient number, since it is larger than the sum of its proper divisors (1).

167267 is an equidigital number, since it uses as much as digits as its factorization.

167267 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3528, while the sum is 29.

The square root of 167267 is about 408.9828847275. The cubic root of 167267 is about 55.0981168720.

It can be divided in two parts, 167 and 267, that added together give a palindrome (434).

The spelling of 167267 in words is "one hundred sixty-seven thousand, two hundred sixty-seven".