313173 has 16 divisors (see below), whose sum is σ = 530560. Its totient is φ = 178848.

The previous prime is 313163. The next prime is 313207. The reversal of 313173 is 371313.

It is not a de Polignac number, because 313173 - 2⁶ = 313109 is a prime.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a Duffinian number.

It is a Curzon number.

313173 is a lucky number.

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 313173.

It is not an unprimeable number, because it can be changed into a prime (313133) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 640 + ... + 1017.

It is an arithmetic number, because the mean of its divisors is an integer number (33160).

2³¹³¹⁷³ is an apocalyptic number.

It is an amenable number.

313173 is a deficient number, since it is larger than the sum of its proper divisors (217387).

313173 is a wasteful number, since it uses less digits than its factorization.

313173 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1673 (or 1667 counting only the distinct ones).

The product of its digits is 189, while the sum is 18.

The square root of 313173 is about 559.6186201334. The cubic root of 313173 is about 67.9091202341.

Adding to 313173 its reverse (371313), we get a palindrome (684486).

The spelling of 313173 in words is "three hundred thirteen thousand, one hundred seventy-three".