313984 has 32 divisors (see below), whose sum is σ = 685440. Its totient is φ = 142080.

The previous prime is 313981. The next prime is 313987. The reversal of 313984 is 489313.

313984 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (313981) and next prime (313987).

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (313981) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1297 + ... + 1519.

It is an arithmetic number, because the mean of its divisors is an integer number (21420).

2³¹³⁹⁸⁴ 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 313984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342720).

313984 is an abundant number, since it is smaller than the sum of its proper divisors (371456).

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

313984 is a wasteful number, since it uses less digits than its factorization.

313984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 236 counting only the distinct ones).

The product of its digits is 2592, while the sum is 28.

The square root of 313984 is about 560.3427522508. The cubic root of 313984 is about 67.9676893788.

It can be divided in two parts, 3139 and 84, that added together give a palindrome (3223).

The spelling of 313984 in words is "three hundred thirteen thousand, nine hundred eighty-four".