338617 has 4 divisors (see below), whose sum is σ = 345060. Its totient is φ = 332176.

The previous prime is 338609. The next prime is 338659. The reversal of 338617 is 716833.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 87616 + 251001 = 296^2 + 501^2 .

It is a cyclic number.

It is not a de Polignac number, because 338617 - 2³ = 338609 is a prime.

It is a super-3 number, since 3×338617³ = 116478971692593339, which contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

338617 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338687) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3142 + ... + 3247.

It is an arithmetic number, because the mean of its divisors is an integer number (86265).

2³³⁸⁶¹⁷ is an apocalyptic number.

It is an amenable number.

338617 is a deficient number, since it is larger than the sum of its proper divisors (6443).

338617 is an equidigital number, since it uses as much as digits as its factorization.

338617 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6442.

The product of its digits is 3024, while the sum is 28.

The square root of 338617 is about 581.9080683407. The cubic root of 338617 is about 69.7005576221.

It can be divided in two parts, 3386 and 17, that added together give a triangular number (3403 = T₈₂).

The spelling of 338617 in words is "three hundred thirty-eight thousand, six hundred seventeen".