84084167 has 2 divisors, whose sum is σ = 84084168. Its totient is φ = 84084166.

The previous prime is 84084151. The next prime is 84084173. The reversal of 84084167 is 76148048.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 84084167 - 2⁴ = 84084151 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 84084167.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (84084197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42042083 + 42042084.

It is an arithmetic number, because the mean of its divisors is an integer number (42042084).

Almost surely, 2^84084167 is an apocalyptic number.

84084167 is a deficient number, since it is larger than the sum of its proper divisors (1).

84084167 is an equidigital number, since it uses as much as digits as its factorization.

84084167 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 43008, while the sum is 38.

The square root of 84084167 is about 9169.7419265757. The cubic root of 84084167 is about 438.0981393623.

The spelling of 84084167 in words is "eighty-four million, eighty-four thousand, one hundred sixty-seven".