7717313 has 2 divisors, whose sum is σ = 7717314. Its totient is φ = 7717312.

The previous prime is 7717247. The next prime is 7717321. The reversal of 7717313 is 3137177.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6848689 + 868624 = 2617^2 + 932^2 .

It is a cyclic number.

It is not a de Polignac number, because 7717313 - 2²⁰ = 6668737 is a prime.

It is a Chen prime.

It is equal to p₅₂₁₉₉₃ and since 7717313 and 521993 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (7717343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3858656 + 3858657.

It is an arithmetic number, because the mean of its divisors is an integer number (3858657).

Almost surely, 2^7717313 is an apocalyptic number.

It is an amenable number.

7717313 is a deficient number, since it is larger than the sum of its proper divisors (1).

7717313 is an equidigital number, since it uses as much as digits as its factorization.

7717313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3087, while the sum is 29.

The square root of 7717313 is about 2778.0052195775. The cubic root of 7717313 is about 197.6159699185.

Subtracting from 7717313 its sum of digits (29), we obtain a square (7717284 = 2778²).

The spelling of 7717313 in words is "seven million, seven hundred seventeen thousand, three hundred thirteen".