338704 has 10 divisors (see below), whose sum is σ = 656270. Its totient is φ = 169344.

The previous prime is 338687. The next prime is 338707. The reversal of 338704 is 407833.

It can be written as a sum of positive squares in only one way, i.e., 336400 + 2304 = 580^2 + 48^2 .

It is a super-2 number, since 2×338704² = 229440799232, which contains 22 as substring.

It is a nialpdrome in base 13.

It is a zygodrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (338707) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10569 + ... + 10600.

It is an arithmetic number, because the mean of its divisors is an integer number (65627).

2³³⁸⁷⁰⁴ is an apocalyptic number.

It is an amenable number.

338704 is a deficient number, since it is larger than the sum of its proper divisors (317566).

338704 is a wasteful number, since it uses less digits than its factorization.

338704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21177 (or 21171 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 338704 is about 581.9828176158. The cubic root of 338704 is about 69.7065264396.

The spelling of 338704 in words is "three hundred thirty-eight thousand, seven hundred four".