338512 has 10 divisors (see below), whose sum is σ = 655898. Its totient is φ = 169248.

The previous prime is 338497. The next prime is 338531. The reversal of 338512 is 215833.

It can be written as a sum of positive squares in only one way, i.e., 197136 + 141376 = 444^2 + 376^2 .

It is a super-2 number, since 2×338512² = 229180748288, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

338512 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, 10563 + ... + 10594.

2³³⁸⁵¹² is an apocalyptic number.

It is an amenable number.

338512 is a deficient number, since it is larger than the sum of its proper divisors (317386).

338512 is a wasteful number, since it uses less digits than its factorization.

338512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21165 (or 21159 counting only the distinct ones).

The product of its digits is 720, while the sum is 22.

The square root of 338512 is about 581.8178409090. The cubic root of 338512 is about 69.6933525151.

It can be divided in two parts, 338 and 512, that multiplied together give a square (173056 = 416²).

The spelling of 338512 in words is "three hundred thirty-eight thousand, five hundred twelve".