314984 has 8 divisors (see below), whose sum is σ = 590610. Its totient is φ = 157488.

The previous prime is 314983. The next prime is 314989. The reversal of 314984 is 489413.

It can be written as a sum of positive squares in only one way, i.e., 178084 + 136900 = 422^2 + 370^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a super-3 number, since 3×314984³ = 93753337325747712, which contains 333 as substring.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 314984.

It is not an unprimeable number, because it can be changed into a prime (314983) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 19679 + ... + 19694.

2³¹⁴⁹⁸⁴ is an apocalyptic number.

It is an amenable number.

314984 is a deficient number, since it is larger than the sum of its proper divisors (275626).

314984 is a wasteful number, since it uses less digits than its factorization.

314984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39379 (or 39375 counting only the distinct ones).

The product of its digits is 3456, while the sum is 29.

The square root of 314984 is about 561.2343539022. The cubic root of 314984 is about 68.0397691244.

The spelling of 314984 in words is "three hundred fourteen thousand, nine hundred eighty-four".