165165167 has 2 divisors, whose sum is σ = 165165168. Its totient is φ = 165165166.

The previous prime is 165165163. The next prime is 165165197. The reversal of 165165167 is 761561561.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 165165167 - 2² = 165165163 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 165165167.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (165165163) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82582583 + 82582584.

It is an arithmetic number, because the mean of its divisors is an integer number (82582584).

Almost surely, 2^165165167 is an apocalyptic number.

165165167 is a deficient number, since it is larger than the sum of its proper divisors (1).

165165167 is an equidigital number, since it uses as much as digits as its factorization.

165165167 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 37800, while the sum is 38.

The square root of 165165167 is about 12851.6600873195. The cubic root of 165165167 is about 548.6636061395.

The spelling of 165165167 in words is "one hundred sixty-five million, one hundred sixty-five thousand, one hundred sixty-seven".