312777617 has 2 divisors, whose sum is σ = 312777618. Its totient is φ = 312777616.

The previous prime is 312777607. The next prime is 312777623. The reversal of 312777617 is 716777213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 230766481 + 82011136 = 15191^2 + 9056^2 .

It is a cyclic number.

It is not a de Polignac number, because 312777617 - 2¹² = 312773521 is a prime.

It is not a weakly prime, because it can be changed into another prime (312777607) 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, 156388808 + 156388809.

It is an arithmetic number, because the mean of its divisors is an integer number (156388809).

Almost surely, 2^312777617 is an apocalyptic number.

It is an amenable number.

312777617 is a deficient number, since it is larger than the sum of its proper divisors (1).

312777617 is an equidigital number, since it uses as much as digits as its factorization.

312777617 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 86436, while the sum is 41.

The square root of 312777617 is about 17685.5199810466. The cubic root of 312777617 is about 678.8052962648.

The spelling of 312777617 in words is "three hundred twelve million, seven hundred seventy-seven thousand, six hundred seventeen".