66075629 has 2 divisors, whose sum is σ = 66075630. Its totient is φ = 66075628.

The previous prime is 66075593. The next prime is 66075661. The reversal of 66075629 is 92657066.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 41344900 + 24730729 = 6430^2 + 4973^2 .

It is a cyclic number.

It is not a de Polignac number, because 66075629 - 2¹⁶ = 66010093 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (66075029) 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, 33037814 + 33037815.

It is an arithmetic number, because the mean of its divisors is an integer number (33037815).

Almost surely, 2^66075629 is an apocalyptic number.

It is an amenable number.

66075629 is a deficient number, since it is larger than the sum of its proper divisors (1).

66075629 is an equidigital number, since it uses as much as digits as its factorization.

66075629 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 136080, while the sum is 41.

The square root of 66075629 is about 8128.6917151532. The cubic root of 66075629 is about 404.2783042208.

The spelling of 66075629 in words is "sixty-six million, seventy-five thousand, six hundred twenty-nine".