33105133 has 2 divisors, whose sum is σ = 33105134. Its totient is φ = 33105132.

The previous prime is 33105109. The next prime is 33105139. The reversal of 33105133 is 33150133.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 17280649 + 15824484 = 4157^2 + 3978^2 .

It is a cyclic number.

It is not a de Polignac number, because 33105133 - 2¹³ = 33096941 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 33105133.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33105139) by changing a digit.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16552566 + 16552567.

It is an arithmetic number, because the mean of its divisors is an integer number (16552567).

Almost surely, 2^33105133 is an apocalyptic number.

It is an amenable number.

33105133 is a deficient number, since it is larger than the sum of its proper divisors (1).

33105133 is an equidigital number, since it uses as much as digits as its factorization.

33105133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 405, while the sum is 19.

The square root of 33105133 is about 5753.7060230776. The cubic root of 33105133 is about 321.0936958592.

Adding to 33105133 its reverse (33150133), we get a palindrome (66255266).

The spelling of 33105133 in words is "thirty-three million, one hundred five thousand, one hundred thirty-three".