338261 has 16 divisors (see below), whose sum is σ = 442368. Its totient is φ = 250800.

The previous prime is 338251. The next prime is 338263. The reversal of 338261 is 162833.

It is not a de Polignac number, because 338261 - 2⁶ = 338197 is a prime.

It is a super-2 number, since 2×338261² = 228841008242, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338263) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1676 + ... + 1866.

It is an arithmetic number, because the mean of its divisors is an integer number (27648).

2³³⁸²⁶¹ is an apocalyptic number.

It is an amenable number.

338261 is a deficient number, since it is larger than the sum of its proper divisors (104107).

338261 is a wasteful number, since it uses less digits than its factorization.

338261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232.

The product of its digits is 864, while the sum is 23.

The square root of 338261 is about 581.6020976578. The cubic root of 338261 is about 69.6761228385.

It can be divided in two parts, 3382 and 61, that added together give a palindrome (3443).

The spelling of 338261 in words is "three hundred thirty-eight thousand, two hundred sixty-one".