81384 has 16 divisors (see below), whose sum is σ = 203520. Its totient is φ = 27120.

The previous prime is 81373. The next prime is 81401. The reversal of 81384 is 48318.

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: 3391 = 81384 / (8 + 1 + 3 + 8 + 4).

It is a nude number because it is divisible by every one of its digits.

It is a plaindrome in base 9.

It is an unprimeable number.

81384 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, 1672 + ... + 1719.

It is an arithmetic number, because the mean of its divisors is an integer number (12720).

2⁸¹³⁸⁴ is an apocalyptic number.

It is an amenable number.

81384 is an abundant number, since it is smaller than the sum of its proper divisors (122136).

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 (101760).

81384 is a wasteful number, since it uses less digits than its factorization.

81384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3400 (or 3396 counting only the distinct ones).

The product of its digits is 768, while the sum is 24.

The square root of 81384 is about 285.2788109902. The cubic root of 81384 is about 43.3357526591.

It can be divided in two parts, 81 and 384, that added together give a triangular number (465 = T₃₀).

The spelling of 81384 in words is "eighty-one thousand, three hundred eighty-four".