338814 has 24 divisors (see below), whose sum is σ = 839280. Its totient is φ = 96768.

The previous prime is 338803. The next prime is 338839. The reversal of 338814 is 418833.

It is a super-2 number, since 2×338814² = 229589853192, which contains 22 as substring.

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 338814.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1219 + ... + 1470.

It is an arithmetic number, because the mean of its divisors is an integer number (34970).

2³³⁸⁸¹⁴ is an apocalyptic number.

338814 is an abundant number, since it is smaller than the sum of its proper divisors (500466).

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

338814 is a wasteful number, since it uses less digits than its factorization.

338814 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2704 (or 2701 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 338814 is about 582.0773144523. The cubic root of 338814 is about 69.7140717574.

The spelling of 338814 in words is "three hundred thirty-eight thousand, eight hundred fourteen".