41264033 has 2 divisors, whose sum is σ = 41264034. Its totient is φ = 41264032.

The previous prime is 41264023. The next prime is 41264057. The reversal of 41264033 is 33046214.

It is a happy number.

41264033 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 22877089 + 18386944 = 4783^2 + 4288^2 .

It is a cyclic number.

It is not a de Polignac number, because 41264033 - 2¹⁰ = 41263009 is a prime.

It is a super-3 number, since 3×41264033³ (a number of 24 digits) contains 333 as substring.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (41264023) 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, 20632016 + 20632017.

It is an arithmetic number, because the mean of its divisors is an integer number (20632017).

Almost surely, 2^41264033 is an apocalyptic number.

It is an amenable number.

41264033 is a deficient number, since it is larger than the sum of its proper divisors (1).

41264033 is an equidigital number, since it uses as much as digits as its factorization.

41264033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 41264033 is about 6423.7086640040. The cubic root of 41264033 is about 345.5603384600.

The spelling of 41264033 in words is "forty-one million, two hundred sixty-four thousand, thirty-three".