84381 has 8 divisors (see below), whose sum is σ = 122784. Its totient is φ = 51120.

The previous prime is 84377. The next prime is 84389. The reversal of 84381 is 18348.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 84381 - 2² = 84377 is a prime.

It is a super-2 number, since 2×84381² = 14240306322, which contains 22 as substring.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

84381 is a lucky number.

It is a plaindrome in base 16.

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 84381.

It is not an unprimeable number, because it can be changed into a prime (84389) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1246 + ... + 1311.

It is an arithmetic number, because the mean of its divisors is an integer number (15348).

2⁸⁴³⁸¹ is an apocalyptic number.

It is an amenable number.

84381 is a deficient number, since it is larger than the sum of its proper divisors (38403).

84381 is a wasteful number, since it uses less digits than its factorization.

84381 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2571.

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

The square root of 84381 is about 290.4840787375. The cubic root of 84381 is about 43.8613056993.

It can be divided in two parts, 84 and 381, that added together give a triangular number (465 = T₃₀).

The spelling of 84381 in words is "eighty-four thousand, three hundred eighty-one".