82344 has 32 divisors (see below), whose sum is σ = 213120. Its totient is φ = 26496.

The previous prime is 82339. The next prime is 82349. The reversal of 82344 is 44328.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (82339) and next prime (82349).

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

It is a self number, because there is not a number n which added to its sum of digits gives 82344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82349) 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, 1092 + ... + 1164.

It is an arithmetic number, because the mean of its divisors is an integer number (6660).

2⁸²³⁴⁴ 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 82344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106560).

82344 is an abundant number, since it is smaller than the sum of its proper divisors (130776).

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

82344 is a wasteful number, since it uses less digits than its factorization.

82344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 125 counting only the distinct ones).

The product of its digits is 768, while the sum is 21.

The square root of 82344 is about 286.9564426877. The cubic root of 82344 is about 43.5054821998.

The spelling of 82344 in words is "eighty-two thousand, three hundred forty-four".