10002083167 has 2 divisors, whose sum is σ = 10002083168. Its totient is φ = 10002083166.

The previous prime is 10002083159. The next prime is 10002083171. The reversal of 10002083167 is 76138020001.

It is a strong prime.

It is an emirp because it is prime and its reverse (76138020001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10002083167 - 2³ = 10002083159 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10002084167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5001041583 + 5001041584.

It is an arithmetic number, because the mean of its divisors is an integer number (5001041584).

Almost surely, 2^10002083167 is an apocalyptic number.

10002083167 is a deficient number, since it is larger than the sum of its proper divisors (1).

10002083167 is an equidigital number, since it uses as much as digits as its factorization.

10002083167 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2016, while the sum is 28.

The spelling of 10002083167 in words is "ten billion, two million, eighty-three thousand, one hundred sixty-seven".