338541 has 20 divisors (see below), whose sum is σ = 537792. Its totient is φ = 189336.

The previous prime is 338531. The next prime is 338543. The reversal of 338541 is 145833.

It is not a de Polignac number, because 338541 - 2⁶ = 338477 is a prime.

It is a super-2 number, since 2×338541² = 229220017362, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338543) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7180 + ... + 7226.

2³³⁸⁵⁴¹ is an apocalyptic number.

It is an amenable number.

338541 is a deficient number, since it is larger than the sum of its proper divisors (199251).

338541 is an frugal number, since it uses more digits than its factorization.

338541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 57 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 338541 is about 581.8427622649. The cubic root of 338541 is about 69.6953426459.

The spelling of 338541 in words is "three hundred thirty-eight thousand, five hundred forty-one".