338045 has 16 divisors (see below), whose sum is σ = 444528. Its totient is φ = 245760.

The previous prime is 338033. The next prime is 338119. The reversal of 338045 is 540833.

It can be written as a sum of positive squares in 8 ways, for example, as 17689 + 320356 = 133^2 + 566^2 .

It is not a de Polignac number, because 338045 - 2¹⁰ = 337021 is a prime.

It is a super-2 number, since 2×338045² = 228548844050, 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 338045.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3437 + ... + 3533.

It is an arithmetic number, because the mean of its divisors is an integer number (27783).

2³³⁸⁰⁴⁵ is an apocalyptic number.

It is an amenable number.

338045 is a deficient number, since it is larger than the sum of its proper divisors (106483).

338045 is a wasteful number, since it uses less digits than its factorization.

338045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160.

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 338045 is about 581.4163740384. The cubic root of 338045 is about 69.6612888818.

Adding to 338045 its reverse (540833), we get a palindrome (878878).

It can be divided in two parts, 3380 and 45, that multiplied together give a square (152100 = 390²).

The spelling of 338045 in words is "three hundred thirty-eight thousand, forty-five".