10009709 has 2 divisors, whose sum is σ = 10009710. Its totient is φ = 10009708.

The previous prime is 10009691. The next prime is 10009711. The reversal of 10009709 is 90790001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9320809 + 688900 = 3053^2 + 830^2 .

It is an emirp because it is prime and its reverse (90790001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10009709 - 2²⁰ = 8961133 is a prime.

Together with 10009711, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10009729) 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 as a sum of consecutive naturals, namely, 5004854 + 5004855.

It is an arithmetic number, because the mean of its divisors is an integer number (5004855).

Almost surely, 2^10009709 is an apocalyptic number.

It is an amenable number.

10009709 is a deficient number, since it is larger than the sum of its proper divisors (1).

10009709 is an equidigital number, since it uses as much as digits as its factorization.

10009709 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 567, while the sum is 26.

The square root of 10009709 is about 3163.8124154254. The cubic root of 10009709 is about 215.5131711381.

The spelling of 10009709 in words is "ten million, nine thousand, seven hundred nine".