10085567 has 2 divisors, whose sum is σ = 10085568. Its totient is φ = 10085566.

The previous prime is 10085513. The next prime is 10085597. The reversal of 10085567 is 76558001.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 10085567 - 2⁸ = 10085311 is a prime.

It is a super-2 number, since 2×10085567² = 203437323422978, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10085507) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5042783 + 5042784.

It is an arithmetic number, because the mean of its divisors is an integer number (5042784).

Almost surely, 2^10085567 is an apocalyptic number.

10085567 is a deficient number, since it is larger than the sum of its proper divisors (1).

10085567 is an equidigital number, since it uses as much as digits as its factorization.

10085567 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8400, while the sum is 32.

The square root of 10085567 is about 3175.7781723540. The cubic root of 10085567 is about 216.0562196482.

The spelling of 10085567 in words is "ten million, eighty-five thousand, five hundred sixty-seven".