338984 has 8 divisors (see below), whose sum is σ = 635610. Its totient is φ = 169488.

The previous prime is 338959. The next prime is 338993. The reversal of 338984 is 489833.

It can be written as a sum of positive squares in only one way, i.e., 334084 + 4900 = 578^2 + 70^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a super-2 number, since 2×338984² = 229820304512, which contains 22 as substring.

It is an unprimeable number.

338984 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 21179 + ... + 21194.

2³³⁸⁹⁸⁴ is an apocalyptic number.

It is an amenable number.

338984 is a deficient number, since it is larger than the sum of its proper divisors (296626).

338984 is a wasteful number, since it uses less digits than its factorization.

338984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42379 (or 42375 counting only the distinct ones).

The product of its digits is 20736, while the sum is 35.

The square root of 338984 is about 582.2233248505. The cubic root of 338984 is about 69.7257294916.

The spelling of 338984 in words is "three hundred thirty-eight thousand, nine hundred eighty-four".