338561 has 8 divisors (see below), whose sum is σ = 361920. Its totient is φ = 315792.

The previous prime is 338543. The next prime is 338563. The reversal of 338561 is 165833.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 338561 - 2⁶ = 338497 is a prime.

It is a super-2 number, since 2×338561² = 229247101442, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 338561.

It is not an unprimeable number, because it can be changed into a prime (338563) by changing a digit.

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 in 7 ways as a sum of consecutive naturals, for example, 1871 + ... + 2043.

It is an arithmetic number, because the mean of its divisors is an integer number (45240).

2³³⁸⁵⁶¹ is an apocalyptic number.

It is an amenable number.

338561 is a deficient number, since it is larger than the sum of its proper divisors (23359).

338561 is a wasteful number, since it uses less digits than its factorization.

338561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295.

The product of its digits is 2160, while the sum is 26.

The square root of 338561 is about 581.8599487849. The cubic root of 338561 is about 69.6967150838.

The spelling of 338561 in words is "three hundred thirty-eight thousand, five hundred sixty-one".