338289 has 16 divisors (see below), whose sum is σ = 524160. Its totient is φ = 190080.

The previous prime is 338287. The next prime is 338293. The reversal of 338289 is 982833.

It is not a de Polignac number, because 338289 - 2¹ = 338287 is a prime.

It is a super-2 number, since 2×338289² = 228878895042, which contains 22 as substring.

338289 is a lucky 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 in 15 ways as a sum of consecutive naturals, for example, 1779 + ... + 1959.

It is an arithmetic number, because the mean of its divisors is an integer number (32760).

2³³⁸²⁸⁹ is an apocalyptic number.

It is an amenable number.

338289 is a deficient number, since it is larger than the sum of its proper divisors (185871).

338289 is a wasteful number, since it uses less digits than its factorization.

338289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280.

The product of its digits is 10368, while the sum is 33.

The square root of 338289 is about 581.6261685997. The cubic root of 338289 is about 69.6780452964.

The spelling of 338289 in words is "three hundred thirty-eight thousand, two hundred eighty-nine".