9005713 has 2 divisors, whose sum is σ = 9005714. Its totient is φ = 9005712.

The previous prime is 9005693. The next prime is 9005723. The reversal of 9005713 is 3175009.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5349969 + 3655744 = 2313^2 + 1912^2 .

It is an emirp because it is prime and its reverse (3175009) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 9005713 - 2⁹ = 9005201 is a prime.

It is a super-2 number, since 2×9005713² = 162205733276738, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (9005723) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4502856 + 4502857.

It is an arithmetic number, because the mean of its divisors is an integer number (4502857).

Almost surely, 2^9005713 is an apocalyptic number.

It is an amenable number.

9005713 is a deficient number, since it is larger than the sum of its proper divisors (1).

9005713 is an equidigital number, since it uses as much as digits as its factorization.

9005713 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 945, while the sum is 25.

The square root of 9005713 is about 3000.9520156110. The cubic root of 9005713 is about 208.0523860285.

The spelling of 9005713 in words is "nine million, five thousand, seven hundred thirteen".