10085627 has 2 divisors, whose sum is σ = 10085628. Its totient is φ = 10085626.

The previous prime is 10085623. The next prime is 10085629. The reversal of 10085627 is 72658001.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 10085627 - 2² = 10085623 is a prime.

Together with 10085629, 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 10085627.

It is not a weakly prime, because it can be changed into another prime (10085623) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5042813 + 5042814.

It is an arithmetic number, because the mean of its divisors is an integer number (5042814).

Almost surely, 2^10085627 is an apocalyptic number.

10085627 is a deficient number, since it is larger than the sum of its proper divisors (1).

10085627 is an equidigital number, since it uses as much as digits as its factorization.

10085627 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3360, while the sum is 29.

The square root of 10085627 is about 3175.7876188436. The cubic root of 10085627 is about 216.0566480937.

The spelling of 10085627 in words is "ten million, eighty-five thousand, six hundred twenty-seven".