66033133 has 2 divisors, whose sum is σ = 66033134. Its totient is φ = 66033132.

The previous prime is 66033127. The next prime is 66033157. The reversal of 66033133 is 33133066.

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., 56280004 + 9753129 = 7502^2 + 3123^2 .

It is a cyclic number.

It is not a de Polignac number, because 66033133 - 2⁹ = 66032621 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 66033098 and 66033107.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (66033173) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33016566 + 33016567.

It is an arithmetic number, because the mean of its divisors is an integer number (33016567).

Almost surely, 2^66033133 is an apocalyptic number.

It is an amenable number.

66033133 is a deficient number, since it is larger than the sum of its proper divisors (1).

66033133 is an equidigital number, since it uses as much as digits as its factorization.

66033133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2916, while the sum is 25.

The square root of 66033133 is about 8126.0773439588. The cubic root of 66033133 is about 404.1916162064.

Adding to 66033133 its reverse (33133066), we get a palindrome (99166199).

It can be divided in two parts, 66033 and 133, that added together give a palindrome (66166).

The spelling of 66033133 in words is "sixty-six million, thirty-three thousand, one hundred thirty-three".