312917 has 4 divisors (see below), whose sum is σ = 341376. Its totient is φ = 284460.

The previous prime is 312899. The next prime is 312929. The reversal of 312917 is 719213.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 312917 - 2¹⁶ = 247381 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 312892 and 312901.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 312917.

It is not an unprimeable number, because it can be changed into a prime (312937) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14213 + ... + 14234.

It is an arithmetic number, because the mean of its divisors is an integer number (85344).

2³¹²⁹¹⁷ is an apocalyptic number.

It is an amenable number.

312917 is a deficient number, since it is larger than the sum of its proper divisors (28459).

312917 is a wasteful number, since it uses less digits than its factorization.

312917 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28458.

The product of its digits is 378, while the sum is 23.

The square root of 312917 is about 559.3898461717. The cubic root of 312917 is about 67.8906113227.

The spelling of 312917 in words is "three hundred twelve thousand, nine hundred seventeen".