313168 has 30 divisors (see below), whose sum is σ = 651434. Its totient is φ = 145728.

The previous prime is 313163. The next prime is 313207. The reversal of 313168 is 861313.

It can be written as a sum of positive squares in only one way, i.e., 304704 + 8464 = 552^2 + 92^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313163) by changing a digit.

313168 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8446 + ... + 8482.

2³¹³¹⁶⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325717).

313168 is an abundant number, since it is smaller than the sum of its proper divisors (338266).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

313168 is a wasteful number, since it uses less digits than its factorization.

313168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 62 counting only the distinct ones).

The product of its digits is 432, while the sum is 22.

The square root of 313168 is about 559.6141527874. The cubic root of 313168 is about 67.9087588285.

Adding to 313168 its product of digits (432), we get a square (313600 = 560²).

The spelling of 313168 in words is "three hundred thirteen thousand, one hundred sixty-eight".