30984 has 16 divisors (see below), whose sum is σ = 77520. Its totient is φ = 10320.

The previous prime is 30983. The next prime is 31013. The reversal of 30984 is 48903.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 1291 = 30984 / (3 + 0 + 9 + 8 + 4).

It is a plaindrome in base 13.

It is a nialpdrome in base 8.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 30984.

It is not an unprimeable number, because it can be changed into a prime (30983) 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, 622 + ... + 669.

It is an arithmetic number, because the mean of its divisors is an integer number (4845).

2³⁰⁹⁸⁴ is an apocalyptic number.

It is an amenable number.

30984 is an abundant number, since it is smaller than the sum of its proper divisors (46536).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38760).

30984 is a wasteful number, since it uses less digits than its factorization.

30984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1300 (or 1296 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 30984 is about 176.0227258055. The cubic root of 30984 is about 31.4084010680.

It can be divided in two parts, 309 and 84, that added together give a palindrome (393).

The spelling of 30984 in words is "thirty thousand, nine hundred eighty-four".