413157167 has 2 divisors, whose sum is σ = 413157168. Its totient is φ = 413157166.

The previous prime is 413157161. The next prime is 413157169. The reversal of 413157167 is 761751314.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 413157167 - 2²⁸ = 144721711 is a prime.

Together with 413157169, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (413157161) 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, 206578583 + 206578584.

It is an arithmetic number, because the mean of its divisors is an integer number (206578584).

Almost surely, 2^413157167 is an apocalyptic number.

413157167 is a deficient number, since it is larger than the sum of its proper divisors (1).

413157167 is an equidigital number, since it uses as much as digits as its factorization.

413157167 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 17640, while the sum is 35.

The square root of 413157167 is about 20326.2679063324. The cubic root of 413157167 is about 744.7978773933.

The spelling of 413157167 in words is "four hundred thirteen million, one hundred fifty-seven thousand, one hundred sixty-seven".