3007313 has 2 divisors, whose sum is σ = 3007314. Its totient is φ = 3007312.

The previous prime is 3007297. The next prime is 3007321. The reversal of 3007313 is 3137003.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1607824 + 1399489 = 1268^2 + 1183^2 .

It is an emirp because it is prime and its reverse (3137003) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 3007313 - 2⁴ = 3007297 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 3007291 and 3007300.

It is not a weakly prime, because it can be changed into another prime (3007373) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1503656 + 1503657.

It is an arithmetic number, because the mean of its divisors is an integer number (1503657).

Almost surely, 2^3007313 is an apocalyptic number.

It is an amenable number.

3007313 is a deficient number, since it is larger than the sum of its proper divisors (1).

3007313 is an equidigital number, since it uses as much as digits as its factorization.

3007313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 189, while the sum is 17.

The square root of 3007313 is about 1734.1606038657. The cubic root of 3007313 is about 144.3420527255.

The spelling of 3007313 in words is "three million, seven thousand, three hundred thirteen".