10085209 has 4 divisors (see below), whose sum is σ = 10149604. Its totient is φ = 10020816.

The previous prime is 10085203. The next prime is 10085227. The reversal of 10085209 is 90258001.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 90258001 = 47 ⋅1920383.

It can be written as a sum of positive squares in 2 ways, for example, as 5475600 + 4609609 = 2340^2 + 2147^2 .

It is a cyclic number.

It is not a de Polignac number, because 10085209 - 2¹⁷ = 9954137 is a prime.

It is a super-2 number, since 2×10085209² = 203422881147362, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10085203) 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 3 ways as a sum of consecutive naturals, for example, 31962 + ... + 32275.

It is an arithmetic number, because the mean of its divisors is an integer number (2537401).

Almost surely, 2^10085209 is an apocalyptic number.

It is an amenable number.

10085209 is a deficient number, since it is larger than the sum of its proper divisors (64395).

10085209 is an equidigital number, since it uses as much as digits as its factorization.

10085209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64394.

The product of its (nonzero) digits is 720, while the sum is 25.

The square root of 10085209 is about 3175.7218077155. The cubic root of 10085209 is about 216.0536632214.

The spelling of 10085209 in words is "ten million, eighty-five thousand, two hundred nine".