338382 has 24 divisors (see below), whose sum is σ = 800280. Its totient is φ = 102480.

The previous prime is 338369. The next prime is 338383. The reversal of 338382 is 283833.

338382 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×338382² = 229004755848, which contains 22 as substring.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

Its product of digits (3456) is a multiple of the sum of its prime factors (1728).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338383) by changing a digit.

338382 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 11 ways as a sum of consecutive naturals, for example, 657 + ... + 1052.

It is an arithmetic number, because the mean of its divisors is an integer number (33345).

2³³⁸³⁸² is an apocalyptic number.

338382 is an abundant number, since it is smaller than the sum of its proper divisors (461898).

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

338382 is a wasteful number, since it uses less digits than its factorization.

338382 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1728 (or 1725 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 338382 is about 581.7061113655. The cubic root of 338382 is about 69.6844298419.

It can be divided in two parts, 33838 and 2, that multiplied together give a palindrome (67676).

The spelling of 338382 in words is "three hundred thirty-eight thousand, three hundred eighty-two".