326382 has 32 divisors (see below), whose sum is σ = 787200. Its totient is φ = 88128.

The previous prime is 326369. The next prime is 326437. The reversal of 326382 is 283623.

326382 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a d-powerful number, because it can be written as 3⁷ + 2¹³ + 3¹¹ + 6⁵ + 8 + 2¹⁷ .

It is a congruent number.

It is an unprimeable number.

326382 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 594 + ... + 1002.

It is an arithmetic number, because the mean of its divisors is an integer number (24600).

2³²⁶³⁸² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 326382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393600).

326382 is an abundant number, since it is smaller than the sum of its proper divisors (460818).

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

326382 is a wasteful number, since it uses less digits than its factorization.

326382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440.

The product of its digits is 1728, while the sum is 24.

The square root of 326382 is about 571.2985209153. The cubic root of 326382 is about 68.8507591436.

It can be divided in two parts, 32638 and 2, that added together give a triangular number (32640 = T₂₅₅).

The spelling of 326382 in words is "three hundred twenty-six thousand, three hundred eighty-two".