313584 has 40 divisors (see below), whose sum is σ = 833280. Its totient is φ = 101568.

The previous prime is 313583. The next prime is 313589. The reversal of 313584 is 485313.

313584 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 313584.

It is not an unprimeable number, because it can be changed into a prime (313583) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2187 + ... + 2325.

It is an arithmetic number, because the mean of its divisors is an integer number (20832).

2³¹³⁵⁸⁴ 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 313584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416640).

313584 is an abundant number, since it is smaller than the sum of its proper divisors (519696).

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

313584 is a wasteful number, since it uses less digits than its factorization.

313584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 191 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 313584 is about 559.9857141035. The cubic root of 313584 is about 67.9388146284.

Adding to 313584 its reverse (485313), we get a palindrome (798897).

The spelling of 313584 in words is "three hundred thirteen thousand, five hundred eighty-four".