313824 has 48 divisors (see below), whose sum is σ = 943488. Its totient is φ = 89472.

The previous prime is 313783. The next prime is 313829. The reversal of 313824 is 428313.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (21).

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

It is a self number, because there is not a number n which added to its sum of digits gives 313824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313829) 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, 439 + ... + 905.

It is an arithmetic number, because the mean of its divisors is an integer number (19656).

2³¹³⁸²⁴ 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 313824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471744).

313824 is an abundant number, since it is smaller than the sum of its proper divisors (629664).

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

313824 is a wasteful number, since it uses less digits than its factorization.

313824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487 (or 479 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

The square root of 313824 is about 560.1999642985. The cubic root of 313824 is about 67.9561424231.

The spelling of 313824 in words is "three hundred thirteen thousand, eight hundred twenty-four".