66349033 has 2 divisors, whose sum is σ = 66349034. Its totient is φ = 66349032.

The previous prime is 66349027. The next prime is 66349039. The reversal of 66349033 is 33094366.

It is a balanced prime because it is at equal distance from previous prime (66349027) and next prime (66349039).

It can be written as a sum of positive squares in only one way, i.e., 61968384 + 4380649 = 7872^2 + 2093^2 .

It is a cyclic number.

It is not a de Polignac number, because 66349033 - 2²¹ = 64251881 is a prime.

It is equal to p_3915628 and since 66349033 and 3915628 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number n which added to its sum of digits gives 66349033.

It is not a weakly prime, because it can be changed into another prime (66349039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33174516 + 33174517.

It is an arithmetic number, because the mean of its divisors is an integer number (33174517).

Almost surely, 2^66349033 is an apocalyptic number.

It is an amenable number.

66349033 is a deficient number, since it is larger than the sum of its proper divisors (1).

66349033 is an equidigital number, since it uses as much as digits as its factorization.

66349033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 34992, while the sum is 34.

The square root of 66349033 is about 8145.4915750985. The cubic root of 66349033 is about 404.8351368815.

The spelling of 66349033 in words is "sixty-six million, three hundred forty-nine thousand, thirty-three".