10005167 has 2 divisors, whose sum is σ = 10005168. Its totient is φ = 10005166.

The previous prime is 10005143. The next prime is 10005169. The reversal of 10005167 is 76150001.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 10005167 - 2²² = 5810863 is a prime.

Together with 10005169, 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 (10005169) 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, 5002583 + 5002584.

It is an arithmetic number, because the mean of its divisors is an integer number (5002584).

Almost surely, 2^10005167 is an apocalyptic number.

10005167 is a deficient number, since it is larger than the sum of its proper divisors (1).

10005167 is an equidigital number, since it uses as much as digits as its factorization.

10005167 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 210, while the sum is 20.

The square root of 10005167 is about 3163.0945290965. The cubic root of 10005167 is about 215.4805691608.

Adding to 10005167 its reverse (76150001), we get a palindrome (86155168).

The spelling of 10005167 in words is "ten million, five thousand, one hundred sixty-seven".