306984 has 16 divisors (see below), whose sum is σ = 767520. Its totient is φ = 102320.

The previous prime is 306953. The next prime is 306991. The reversal of 306984 is 489603.

306984 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 13.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 306984.

It is an unprimeable number.

306984 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 3 ways as a sum of consecutive naturals, for example, 6372 + ... + 6419.

It is an arithmetic number, because the mean of its divisors is an integer number (47970).

2³⁰⁶⁹⁸⁴ is an apocalyptic number.

It is an amenable number.

306984 is an abundant number, since it is smaller than the sum of its proper divisors (460536).

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

306984 is a wasteful number, since it uses less digits than its factorization.

306984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12800 (or 12796 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 306984 is about 554.0613684422. The cubic root of 306984 is about 67.4587951537.

The spelling of 306984 in words is "three hundred six thousand, nine hundred eighty-four".