165167 has 4 divisors (see below), whose sum is σ = 173880. Its totient is φ = 156456.

The previous prime is 165161. The next prime is 165173. The reversal of 165167 is 761561.

165167 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes.

It is an interprime number because it is at equal distance from previous prime (165161) and next prime (165173).

It is a cyclic number.

It is not a de Polignac number, because 165167 - 2⁶ = 165103 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 165167.

It is not an unprimeable number, because it can be changed into a prime (165161) 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, 4328 + ... + 4365.

It is an arithmetic number, because the mean of its divisors is an integer number (43470).

2¹⁶⁵¹⁶⁷ is an apocalyptic number.

165167 is a deficient number, since it is larger than the sum of its proper divisors (8713).

165167 is an equidigital number, since it uses as much as digits as its factorization.

165167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8712.

The product of its digits is 1260, while the sum is 26.

The square root of 165167 is about 406.4074310344. The cubic root of 165167 is about 54.8665635818.

The spelling of 165167 in words is "one hundred sixty-five thousand, one hundred sixty-seven".