314384 has 30 divisors (see below), whose sum is σ = 710334. Its totient is φ = 134400.

The previous prime is 314359. The next prime is 314399. The reversal of 314384 is 483413.

It can be written as a sum of positive squares in only one way, i.e., 313600 + 784 = 560^2 + 28^2 .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 314384.

It is an unprimeable number.

314384 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, 584 + ... + 984.

2³¹⁴³⁸⁴ 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 314384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355167).

314384 is an abundant number, since it is smaller than the sum of its proper divisors (395950).

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

314384 is a wasteful number, since it uses less digits than its factorization.

314384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 410 counting only the distinct ones).

The product of its digits is 1152, while the sum is 23.

The square root of 314384 is about 560.6995630460. The cubic root of 314384 is about 67.9965396163.

Adding to 314384 its reverse (483413), we get a palindrome (797797).

The spelling of 314384 in words is "three hundred fourteen thousand, three hundred eighty-four".