879167 has 2 divisors, whose sum is σ = 879168. Its totient is φ = 879166.

The previous prime is 879143. The next prime is 879169. The reversal of 879167 is 761978.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 879167 - 2⁶ = 879103 is a prime.

It is a super-2 number, since 2×879167² = 1545869227778, which contains 22 as substring.

Together with 879169, it forms a pair of twin primes.

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 879167.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 879167.

It is not a weakly prime, because it can be changed into another prime (879169) 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, 439583 + 439584.

It is an arithmetic number, because the mean of its divisors is an integer number (439584).

2⁸⁷⁹¹⁶⁷ is an apocalyptic number.

879167 is a deficient number, since it is larger than the sum of its proper divisors (1).

879167 is an equidigital number, since it uses as much as digits as its factorization.

879167 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 21168, while the sum is 38.

The square root of 879167 is about 937.6390563538. The cubic root of 879167 is about 95.7981508324.

It can be divided in two parts, 8 and 79167, that multiplied together give a palindrome (633336).

The spelling of 879167 in words is "eight hundred seventy-nine thousand, one hundred sixty-seven".