82384 has 20 divisors (see below), whose sum is σ = 168640. Its totient is φ = 38880.

The previous prime is 82373. The next prime is 82387. The reversal of 82384 is 48328.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82387) by changing a digit.

82384 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, 169 + ... + 439.

It is an arithmetic number, because the mean of its divisors is an integer number (8432).

2⁸²³⁸⁴ 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 82384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84320).

82384 is an abundant number, since it is smaller than the sum of its proper divisors (86256).

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

82384 is a wasteful number, since it uses less digits than its factorization.

82384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 292 counting only the distinct ones).

The product of its digits is 1536, while the sum is 25.

The square root of 82384 is about 287.0261312146. The cubic root of 82384 is about 43.5125255690.

The spelling of 82384 in words is "eighty-two thousand, three hundred eighty-four".