338033 has 2 divisors, whose sum is σ = 338034. Its totient is φ = 338032.

The previous prime is 338027. The next prime is 338119. The reversal of 338033 is 330833.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 187489 + 150544 = 433^2 + 388^2 .

It is a cyclic number.

It is not a de Polignac number, because 338033 - 2⁴ = 338017 is a prime.

It is a super-2 number, since 2×338033² = 228532618178, which contains 22 as substring.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 337996 and 338014.

It is not a weakly prime, because it can be changed into another prime (335033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 169016 + 169017.

It is an arithmetic number, because the mean of its divisors is an integer number (169017).

2³³⁸⁰³³ is an apocalyptic number.

It is an amenable number.

338033 is a deficient number, since it is larger than the sum of its proper divisors (1).

338033 is an equidigital number, since it uses as much as digits as its factorization.

338033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 648, while the sum is 20.

The square root of 338033 is about 581.4060543200. The cubic root of 338033 is about 69.6604645878.

Adding to 338033 its reverse (330833), we get a palindrome (668866).

The spelling of 338033 in words is "three hundred thirty-eight thousand, thirty-three".