842167 has 2 divisors, whose sum is σ = 842168. Its totient is φ = 842166.

The previous prime is 842161. The next prime is 842173. The reversal of 842167 is 761248.

It is a balanced prime because it is at equal distance from previous prime (842161) and next prime (842173).

It is a cyclic number.

It is not a de Polignac number, because 842167 - 2³ = 842159 is a prime.

842167 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (842161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 421083 + 421084.

It is an arithmetic number, because the mean of its divisors is an integer number (421084).

2⁸⁴²¹⁶⁷ is an apocalyptic number.

842167 is a deficient number, since it is larger than the sum of its proper divisors (1).

842167 is an equidigital number, since it uses as much as digits as its factorization.

842167 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2688, while the sum is 28.

The square root of 842167 is about 917.6965729477. The cubic root of 842167 is about 94.4349467830.

The spelling of 842167 in words is "eight hundred forty-two thousand, one hundred sixty-seven".