10005209 has 2 divisors, whose sum is σ = 10005210. Its totient is φ = 10005208.

The previous prime is 10005179. The next prime is 10005217. The reversal of 10005209 is 90250001.

10005209 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8497225 + 1507984 = 2915^2 + 1228^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10005209 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (10005509) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5002604 + 5002605.

It is an arithmetic number, because the mean of its divisors is an integer number (5002605).

Almost surely, 2^10005209 is an apocalyptic number.

It is an amenable number.

10005209 is a deficient number, since it is larger than the sum of its proper divisors (1).

10005209 is an equidigital number, since it uses as much as digits as its factorization.

10005209 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 90, while the sum is 17.

The square root of 10005209 is about 3163.1011681576. The cubic root of 10005209 is about 215.4808706774.

The spelling of 10005209 in words is "ten million, five thousand, two hundred nine".