83382 has 16 divisors (see below), whose sum is σ = 179760. Its totient is φ = 25632.

The previous prime is 83357. The next prime is 83383. The reversal of 83382 is 28338.

83382 = 74² + 75² + ... + 86².

It is a plaindrome in base 14.

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 83382.

It is not an unprimeable number, because it can be changed into a prime (83383) by changing a digit.

83382 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 7 ways as a sum of consecutive naturals, for example, 457 + ... + 612.

It is an arithmetic number, because the mean of its divisors is an integer number (11235).

2⁸³³⁸² is an apocalyptic number.

83382 is an abundant number, since it is smaller than the sum of its proper divisors (96378).

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 (89880).

83382 is a wasteful number, since it uses less digits than its factorization.

83382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1087.

The product of its digits is 1152, while the sum is 24.

The square root of 83382 is about 288.7594154309. The cubic root of 83382 is about 43.6875244320.

It can be divided in two parts, 83 and 382, that added together give a triangular number (465 = T₃₀).

The spelling of 83382 in words is "eighty-three thousand, three hundred eighty-two".