164607167 has 2 divisors, whose sum is σ = 164607168. Its totient is φ = 164607166.

The previous prime is 164607151. The next prime is 164607173. The reversal of 164607167 is 761706461.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 164607167 - 2⁴ = 164607151 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 164607167.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (164607197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82303583 + 82303584.

It is an arithmetic number, because the mean of its divisors is an integer number (82303584).

Almost surely, 2^164607167 is an apocalyptic number.

164607167 is a deficient number, since it is larger than the sum of its proper divisors (1).

164607167 is an equidigital number, since it uses as much as digits as its factorization.

164607167 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 42336, while the sum is 38.

The square root of 164607167 is about 12829.9324627996. The cubic root of 164607167 is about 548.0450339942.

The spelling of 164607167 in words is "one hundred sixty-four million, six hundred seven thousand, one hundred sixty-seven".