312517 has 2 divisors, whose sum is σ = 312518. Its totient is φ = 312516.

The previous prime is 312509. The next prime is 312527. The reversal of 312517 is 715213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 312481 + 36 = 559^2 + 6^2 .

It is a cyclic number.

It is not a de Polignac number, because 312517 - 2³ = 312509 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 312494 and 312503.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312527) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156258 + 156259.

It is an arithmetic number, because the mean of its divisors is an integer number (156259).

2³¹²⁵¹⁷ is an apocalyptic number.

It is an amenable number.

312517 is a deficient number, since it is larger than the sum of its proper divisors (1).

312517 is an equidigital number, since it uses as much as digits as its factorization.

312517 is an evil number, because the sum of its binary digits is even.

The product of its digits is 210, while the sum is 19.

The square root of 312517 is about 559.0321994304. The cubic root of 312517 is about 67.8616709285.

The spelling of 312517 in words is "three hundred twelve thousand, five hundred seventeen".