313617 has 8 divisors (see below), whose sum is σ = 422496. Its totient is φ = 206912.

The previous prime is 313613. The next prime is 313619. The reversal of 313617 is 716313.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 313617 - 2² = 313613 is a prime.

313617 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 313593 and 313602.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 313617.

It is not an unprimeable number, because it can be changed into a prime (313613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 168 + ... + 809.

It is an arithmetic number, because the mean of its divisors is an integer number (52812).

2³¹³⁶¹⁷ is an apocalyptic number.

It is an amenable number.

313617 is a deficient number, since it is larger than the sum of its proper divisors (108879).

313617 is a wasteful number, since it uses less digits than its factorization.

313617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1087.

The product of its digits is 378, while the sum is 21.

The square root of 313617 is about 560.0151783657. The cubic root of 313617 is about 67.9411977243.

The spelling of 313617 in words is "three hundred thirteen thousand, six hundred seventeen".