338437 has 6 divisors (see below), whose sum is σ = 372134. Its totient is φ = 307560.

The previous prime is 338431. The next prime is 338449. The reversal of 338437 is 734833.

It is the 238-th star number.

It can be written as a sum of positive squares in only one way, i.e., 314721 + 23716 = 561^2 + 154^2 .

It is not a de Polignac number, because 338437 - 2⁷ = 338309 is a prime.

It is a super-2 number, since 2×338437² = 229079205938, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338431) 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 in 5 ways as a sum of consecutive naturals, for example, 1278 + ... + 1519.

2³³⁸⁴³⁷ is an apocalyptic number.

It is an amenable number.

338437 is a deficient number, since it is larger than the sum of its proper divisors (33697).

338437 is a wasteful number, since it uses less digits than its factorization.

338437 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2819 (or 2808 counting only the distinct ones).

The product of its digits is 6048, while the sum is 28.

The square root of 338437 is about 581.7533841758. The cubic root of 338437 is about 69.6882050979.

The spelling of 338437 in words is "three hundred thirty-eight thousand, four hundred thirty-seven".