777313 has 2 divisors, whose sum is σ = 777314. Its totient is φ = 777312.

The previous prime is 777277. The next prime is 777317. The reversal of 777313 is 313777.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 589824 + 187489 = 768^2 + 433^2 .

It is an emirp because it is prime and its reverse (313777) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 777313 - 2⁹ = 776801 is a prime.

It is not a weakly prime, because it can be changed into another prime (777317) 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, 388656 + 388657.

It is an arithmetic number, because the mean of its divisors is an integer number (388657).

2⁷⁷⁷³¹³ is an apocalyptic number.

It is an amenable number.

777313 is a deficient number, since it is larger than the sum of its proper divisors (1).

777313 is an equidigital number, since it uses as much as digits as its factorization.

777313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3087, while the sum is 28.

The square root of 777313 is about 881.6535600790. The cubic root of 777313 is about 91.9458171820.

The spelling of 777313 in words is "seven hundred seventy-seven thousand, three hundred thirteen".