10009713 has 16 divisors (see below), whose sum is σ = 16056320. Its totient is φ = 5418576.

The previous prime is 10009711. The next prime is 10009723. The reversal of 10009713 is 31790001.

10009713 is digitally balanced in base 2, base 3 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10009713 - 2¹ = 10009711 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10009713.

It is not an unprimeable number, because it can be changed into a prime (10009711) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12145 + ... + 12942.

It is an arithmetic number, because the mean of its divisors is an integer number (1003520).

Almost surely, 2^10009713 is an apocalyptic number.

It is an amenable number.

10009713 is a deficient number, since it is larger than the sum of its proper divisors (6046607).

10009713 is a wasteful number, since it uses less digits than its factorization.

10009713 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25116.

The product of its (nonzero) digits is 189, while the sum is 21.

The square root of 10009713 is about 3163.8130475741. The cubic root of 10009713 is about 215.5131998454.

Adding to 10009713 its reverse (31790001), we get a palindrome (41799714).

The spelling of 10009713 in words is "ten million, nine thousand, seven hundred thirteen".