338314 has 16 divisors (see below), whose sum is σ = 554400. Its totient is φ = 154224.

The previous prime is 338309. The next prime is 338321. The reversal of 338314 is 413833.

338314 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 2×338314² = 228912725192, which contains 22 as substring.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 338314.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 949 + ... + 1255.

It is an arithmetic number, because the mean of its divisors is an integer number (34650).

2³³⁸³¹⁴ is an apocalyptic number.

338314 is a deficient number, since it is larger than the sum of its proper divisors (216086).

338314 is a wasteful number, since it uses less digits than its factorization.

338314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357.

The product of its digits is 864, while the sum is 22.

The square root of 338314 is about 581.6476596704. The cubic root of 338314 is about 69.6797616871.

The spelling of 338314 in words is "three hundred thirty-eight thousand, three hundred fourteen".