312517017 has 12 divisors (see below), whose sum is σ = 451652500. Its totient is φ = 208234368.

The previous prime is 312517013. The next prime is 312517019. The reversal of 312517017 is 710715213.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 84989961 + 227527056 = 9219^2 + 15084^2 .

It is not a de Polignac number, because 312517017 - 2² = 312517013 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (312517013) 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 in 11 ways as a sum of consecutive naturals, for example, 11109 + ... + 27357.

Almost surely, 2^312517017 is an apocalyptic number.

It is an amenable number.

312517017 is a deficient number, since it is larger than the sum of its proper divisors (139135483).

312517017 is a wasteful number, since it uses less digits than its factorization.

312517017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18392 (or 18389 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 27.

The square root of 312517017 is about 17678.1508365553. The cubic root of 312517017 is about 678.6167215904.

The spelling of 312517017 in words is "three hundred twelve million, five hundred seventeen thousand, seventeen".