338065033 has 2 divisors, whose sum is σ = 338065034. Its totient is φ = 338065032.

The previous prime is 338065027. The next prime is 338065037. The reversal of 338065033 is 330560833.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 189420169 + 148644864 = 13763^2 + 12192^2 .

It is an emirp because it is prime and its reverse (330560833) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 338065033 - 2⁹ = 338064521 is a prime.

It is a super-2 number, since 2×338065033² = 228575933074582178, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 338064986 and 338065004.

It is not a weakly prime, because it can be changed into another prime (338065037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 169032516 + 169032517.

It is an arithmetic number, because the mean of its divisors is an integer number (169032517).

Almost surely, 2^338065033 is an apocalyptic number.

It is an amenable number.

338065033 is a deficient number, since it is larger than the sum of its proper divisors (1).

338065033 is an equidigital number, since it uses as much as digits as its factorization.

338065033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 19440, while the sum is 31.

The square root of 338065033 is about 18386.5448902180. The cubic root of 338065033 is about 696.6266492840.

The spelling of 338065033 in words is "three hundred thirty-eight million, sixty-five thousand, thirty-three".