84072167 has 2 divisors, whose sum is σ = 84072168. Its totient is φ = 84072166.

The previous prime is 84072161. The next prime is 84072179. The reversal of 84072167 is 76127048.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 84072167 - 2²⁴ = 67294951 is a prime.

It is a Chen prime.

It is equal to p_4893047 and since 84072167 and 4893047 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (84072161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42036083 + 42036084.

It is an arithmetic number, because the mean of its divisors is an integer number (42036084).

Almost surely, 2^84072167 is an apocalyptic number.

84072167 is a deficient number, since it is larger than the sum of its proper divisors (1).

84072167 is an equidigital number, since it uses as much as digits as its factorization.

84072167 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18816, while the sum is 35.

The square root of 84072167 is about 9169.0875772892. The cubic root of 84072167 is about 438.0772974370.

The spelling of 84072167 in words is "eighty-four million, seventy-two thousand, one hundred sixty-seven".