338661 has 20 divisors (see below), whose sum is σ = 524172. Its totient is φ = 217728.

The previous prime is 338659. The next prime is 338669. The reversal of 338661 is 166833.

338661 is nontrivially palindromic in base 13.

It can be written as a sum of positive squares in 2 ways, for example, as 136161 + 202500 = 369^2 + 450^2 .

It is not a de Polignac number, because 338661 - 2¹ = 338659 is a prime.

It is a super-2 number, since 2×338661² = 229382545842, which contains 22 as substring.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (2592) is a multiple of the sum of its prime factors (162).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338669) 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, 2941 + ... + 3053.

2³³⁸⁶⁶¹ is an apocalyptic number.

It is an amenable number.

338661 is a deficient number, since it is larger than the sum of its proper divisors (185511).

338661 is a wasteful number, since it uses less digits than its factorization.

338661 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 153 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 338661 is about 581.9458737718. The cubic root of 338661 is about 69.7035764622.

It can be divided in two parts, 338 and 661, that added together give a palindrome (999).

The spelling of 338661 in words is "three hundred thirty-eight thousand, six hundred sixty-one".