10007713 has 8 divisors (see below), whose sum is σ = 10676232. Its totient is φ = 9348096.

The previous prime is 10007707. The next prime is 10007719. The reversal of 10007713 is 31770001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10007707) and next prime (10007719).

It can be written as a sum of positive squares in 4 ways, for example, as 3211264 + 6796449 = 1792^2 + 2607^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10007713 - 2⁵ = 10007681 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10007719) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 181 + ... + 4477.

It is an arithmetic number, because the mean of its divisors is an integer number (1334529).

Almost surely, 2^10007713 is an apocalyptic number.

It is an amenable number.

10007713 is a deficient number, since it is larger than the sum of its proper divisors (668519).

10007713 is a wasteful number, since it uses less digits than its factorization.

10007713 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4451.

The product of its (nonzero) digits is 147, while the sum is 19.

The square root of 10007713 is about 3163.4969574823. The cubic root of 10007713 is about 215.4988452843.

Adding to 10007713 its reverse (31770001), we get a palindrome (41777714).

The spelling of 10007713 in words is "ten million, seven thousand, seven hundred thirteen".