12820033 has 2 divisors, whose sum is σ = 12820034. Its totient is φ = 12820032.

The previous prime is 12820009. The next prime is 12820037. The reversal of 12820033 is 33002821.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12341169 + 478864 = 3513^2 + 692^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-12820033 is a prime.

It is a super-2 number, since 2×12820033² = 328706492242178, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12820037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6410016 + 6410017.

It is an arithmetic number, because the mean of its divisors is an integer number (6410017).

Almost surely, 2^12820033 is an apocalyptic number.

It is an amenable number.

12820033 is a deficient number, since it is larger than the sum of its proper divisors (1).

12820033 is an equidigital number, since it uses as much as digits as its factorization.

12820033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 12820033 is about 3580.5073662820. The cubic root of 12820033 is about 234.0433905462.

Adding to 12820033 its reverse (33002821), we get a palindrome (45822854).

The spelling of 12820033 in words is "twelve million, eight hundred twenty thousand, thirty-three".