313224 has 32 divisors (see below), whose sum is σ = 810240. Its totient is φ = 100800.

The previous prime is 313219. The next prime is 313241. The reversal of 313224 is 422313.

It is a nude number because it is divisible by every one of its digits.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 313224.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 534 + ... + 954.

It is an arithmetic number, because the mean of its divisors is an integer number (25320).

2³¹³²²⁴ 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 313224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405120).

313224 is an abundant number, since it is smaller than the sum of its proper divisors (497016).

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

313224 is a wasteful number, since it uses less digits than its factorization.

313224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461 (or 457 counting only the distinct ones).

The product of its digits is 144, while the sum is 15.

The square root of 313224 is about 559.6641850253. The cubic root of 313224 is about 67.9128063513.

Adding to 313224 its reverse (422313), we get a palindrome (735537).

The spelling of 313224 in words is "three hundred thirteen thousand, two hundred twenty-four".