338142 has 32 divisors (see below), whose sum is σ = 790272. Its totient is φ = 94464.

The previous prime is 338141. The next prime is 338153. The reversal of 338142 is 241833.

It is a happy number.

It is a super-2 number, since 2×338142² = 228680024328, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

Its product of digits (576) is a multiple of the sum of its prime divisors (192).

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 338142.

It is not an unprimeable number, because it can be changed into a prime (338141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3438 + ... + 3534.

It is an arithmetic number, because the mean of its divisors is an integer number (24696).

2³³⁸¹⁴² is an apocalyptic number.

It is a pronic number, being equal to 581×582.

It is a practical number, because each smaller number is the sum of distinct divisors of 338142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395136).

338142 is an abundant number, since it is smaller than the sum of its proper divisors (452130).

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

338142 is a wasteful number, since it uses less digits than its factorization.

338142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192.

The product of its digits is 576, while the sum is 21.

The square root of 338142 is about 581.4997850387. The cubic root of 338142 is about 69.6679512086.

Adding to 338142 its reverse (241833), we get a palindrome (579975).

The spelling of 338142 in words is "three hundred thirty-eight thousand, one hundred forty-two".