7657313 has 2 divisors, whose sum is σ = 7657314. Its totient is φ = 7657312.

The previous prime is 7657303. The next prime is 7657333. The reversal of 7657313 is 3137567.

7657313 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7656289 + 1024 = 2767^2 + 32^2 .

It is an emirp because it is prime and its reverse (3137567) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 7657313 - 2⁴ = 7657297 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 7657313.

It is not a weakly prime, because it can be changed into another prime (7657303) 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, 3828656 + 3828657.

It is an arithmetic number, because the mean of its divisors is an integer number (3828657).

Almost surely, 2^7657313 is an apocalyptic number.

It is an amenable number.

7657313 is a deficient number, since it is larger than the sum of its proper divisors (1).

7657313 is an equidigital number, since it uses as much as digits as its factorization.

7657313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 13230, while the sum is 32.

The square root of 7657313 is about 2767.1850317606. The cubic root of 7657313 is about 197.1025001907.

The spelling of 7657313 in words is "seven million, six hundred fifty-seven thousand, three hundred thirteen".