338002 has 12 divisors (see below), whose sum is σ = 589950. Its totient is φ = 144816.

The previous prime is 337999. The next prime is 338017. The reversal of 338002 is 200833.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 337561 + 441 = 581^2 + 21^2 .

It is a super-2 number, since 2×338002² = 228490704008, which contains 22 as substring.

It is an unprimeable 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 in 5 ways as a sum of consecutive naturals, for example, 1627 + ... + 1822.

2³³⁸⁰⁰² is an apocalyptic number.

338002 is a deficient number, since it is larger than the sum of its proper divisors (251948).

338002 is a wasteful number, since it uses less digits than its factorization.

338002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3465 (or 3458 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 338002 is about 581.3793941997. The cubic root of 338002 is about 69.6583350715.

Adding to 338002 its reverse (200833), we get a palindrome (538835).

It can be divided in two parts, 33800 and 2, that multiplied together give a square (67600 = 260²).

The spelling of 338002 in words is "three hundred thirty-eight thousand, two".