10085067 has 20 divisors (see below), whose sum is σ = 15860680. Its totient is φ = 6368544.

The previous prime is 10085051. The next prime is 10085077. The reversal of 10085067 is 76058001.

It is not a de Polignac number, because 10085067 - 2⁴ = 10085051 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10085067.

It is not an unprimeable number, because it can be changed into a prime (10085027) 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 in 19 ways as a sum of consecutive naturals, for example, 1738 + ... + 4815.

It is an arithmetic number, because the mean of its divisors is an integer number (793034).

Almost surely, 2^10085067 is an apocalyptic number.

10085067 is a deficient number, since it is larger than the sum of its proper divisors (5775613).

10085067 is an equidigital number, since it uses as much as digits as its factorization.

10085067 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6584 (or 6575 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 10085067 is about 3175.6994505148. The cubic root of 10085067 is about 216.0526492029.

The spelling of 10085067 in words is "ten million, eighty-five thousand, sixty-seven".