338601 has 8 divisors (see below), whose sum is σ = 459360. Its totient is φ = 221792.

The previous prime is 338581. The next prime is 338609. The reversal of 338601 is 106833.

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 338601 - 2⁷ = 338473 is a prime.

It is a super-2 number, since 2×338601² = 229301274402, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (338609) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 780 + ... + 1133.

It is an arithmetic number, because the mean of its divisors is an integer number (57420).

2³³⁸⁶⁰¹ is an apocalyptic number.

It is an amenable number.

338601 is a deficient number, since it is larger than the sum of its proper divisors (120759).

338601 is a wasteful number, since it uses less digits than its factorization.

338601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1975.

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 338601 is about 581.8943203022. The cubic root of 338601 is about 69.6994597972.

It can be divided in two parts, 338 and 601, that added together give a palindrome (939).

The spelling of 338601 in words is "three hundred thirty-eight thousand, six hundred one".