32384 has 32 divisors (see below), whose sum is σ = 73440. Its totient is φ = 14080.

The previous prime is 32381. The next prime is 32401. The reversal of 32384 is 48323.

It is a tau number, because it is divible by the number of its divisors (32).

Its product of digits (576) is a multiple of the sum of its prime divisors (36).

It is a nialpdrome in base 8 and base 14.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 32384.

It is not an unprimeable number, because it can be changed into a prime (32381) 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, 1397 + ... + 1419.

It is an arithmetic number, because the mean of its divisors is an integer number (2295).

2³²³⁸⁴ 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 32384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36720).

32384 is an abundant number, since it is smaller than the sum of its proper divisors (41056).

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

32384 is a wasteful number, since it uses less digits than its factorization.

32384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48 (or 36 counting only the distinct ones).

The product of its digits is 576, while the sum is 20.

The square root of 32384 is about 179.9555500672. The cubic root of 32384 is about 31.8745085148.

The spelling of 32384 in words is "thirty-two thousand, three hundred eighty-four".