66105329 has 2 divisors, whose sum is σ = 66105330. Its totient is φ = 66105328.

The previous prime is 66105293. The next prime is 66105337. The reversal of 66105329 is 92350166.

It is a happy number.

Together with previous prime (66105293) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 43256929 + 22848400 = 6577^2 + 4780^2 .

It is a cyclic number.

It is not a de Polignac number, because 66105329 - 2¹⁶ = 66039793 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 66105295 and 66105304.

It is not a weakly prime, because it can be changed into another prime (66105379) 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, 33052664 + 33052665.

It is an arithmetic number, because the mean of its divisors is an integer number (33052665).

Almost surely, 2^66105329 is an apocalyptic number.

It is an amenable number.

66105329 is a deficient number, since it is larger than the sum of its proper divisors (1).

66105329 is an equidigital number, since it uses as much as digits as its factorization.

66105329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9720, while the sum is 32.

The square root of 66105329 is about 8130.5183721581. The cubic root of 66105329 is about 404.3388674838.

The spelling of 66105329 in words is "sixty-six million, one hundred five thousand, three hundred twenty-nine".