338589 has 12 divisors (see below), whose sum is σ = 518076. Its totient is φ = 212352.

The previous prime is 338581. The next prime is 338609. The reversal of 338589 is 985833.

It can be written as a sum of positive squares in 2 ways, for example, as 311364 + 27225 = 558^2 + 165^2 .

It is not a de Polignac number, because 338589 - 2³ = 338581 is a prime.

It is a super-2 number, since 2×338589² = 229285021842, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338581) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 954 + ... + 1259.

It is an arithmetic number, because the mean of its divisors is an integer number (43173).

2³³⁸⁵⁸⁹ is an apocalyptic number.

It is an amenable number.

338589 is a deficient number, since it is larger than the sum of its proper divisors (179487).

338589 is a wasteful number, since it uses less digits than its factorization.

338589 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2236 (or 2233 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 338589 is about 581.8840090602. The cubic root of 338589 is about 69.6986364059.

The spelling of 338589 in words is "three hundred thirty-eight thousand, five hundred eighty-nine".