338288 has 10 divisors (see below), whose sum is σ = 655464. Its totient is φ = 169136.

The previous prime is 338287. The next prime is 338293. The reversal of 338288 is 882833.

338288 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×338288² = 228877541888, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338287) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10556 + ... + 10587.

2³³⁸²⁸⁸ is an apocalyptic number.

It is an amenable number.

338288 is a deficient number, since it is larger than the sum of its proper divisors (317176).

338288 is a wasteful number, since it uses less digits than its factorization.

338288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21151 (or 21145 counting only the distinct ones).

The product of its digits is 9216, while the sum is 32.

The square root of 338288 is about 581.6253089404. The cubic root of 338288 is about 69.6779766391.

It can be divided in two parts, 338 and 288, that multiplied together give a square (97344 = 312²).

The spelling of 338288 in words is "three hundred thirty-eight thousand, two hundred eighty-eight".