30884 has 12 divisors (see below), whose sum is σ = 61824. Its totient is φ = 13224.

The previous prime is 30881. The next prime is 30893. The reversal of 30884 is 48803.

30884 is an admirable number.

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 30884.

It is not an unprimeable number, because it can be changed into a prime (30881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 524 + ... + 579.

It is an arithmetic number, because the mean of its divisors is an integer number (5152).

2³⁰⁸⁸⁴ is an apocalyptic number.

It is an amenable number.

30884 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (30912).

30884 is a wasteful number, since it uses less digits than its factorization.

30884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1114 (or 1112 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 30884 is about 175.7384420097. The cubic root of 30884 is about 31.3745747364.

The spelling of 30884 in words is "thirty thousand, eight hundred eighty-four".