189384 has 32 divisors (see below), whose sum is σ = 510720. Its totient is φ = 58176.

The previous prime is 189377. The next prime is 189389. The reversal of 189384 is 483981.

189384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (189389) by changing a digit.

189384 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 7 ways as a sum of consecutive naturals, for example, 9 + ... + 615.

It is an arithmetic number, because the mean of its divisors is an integer number (15960).

2¹⁸⁹³⁸⁴ 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 189384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255360).

189384 is an abundant number, since it is smaller than the sum of its proper divisors (321336).

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

189384 is a wasteful number, since it uses less digits than its factorization.

189384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629 (or 625 counting only the distinct ones).

The product of its digits is 6912, while the sum is 33.

The square root of 189384 is about 435.1827202452. The cubic root of 189384 is about 57.4267750944.

The spelling of 189384 in words is "one hundred eighty-nine thousand, three hundred eighty-four".