338112 has 42 divisors (see below), whose sum is σ = 970788. Its totient is φ = 112512.

The previous prime is 338033. The next prime is 338119. The reversal of 338112 is 211833.

338112 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 2×338112² = 228639449088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (338119) by changing a digit.

338112 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 5 ways as a sum of consecutive naturals, for example, 283 + ... + 869.

It is an arithmetic number, because the mean of its divisors is an integer number (23114).

2³³⁸¹¹² is an apocalyptic number.

338112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 338112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485394).

338112 is an abundant number, since it is smaller than the sum of its proper divisors (632676).

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

338112 is a wasteful number, since it uses less digits than its factorization.

338112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605 (or 592 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 338112 is about 581.4739891001. The cubic root of 338112 is about 69.6658908313.

Adding to 338112 its reverse (211833), we get a palindrome (549945).

The spelling of 338112 in words is "three hundred thirty-eight thousand, one hundred twelve".