66185101 has 2 divisors, whose sum is σ = 66185102. Its totient is φ = 66185100.

The previous prime is 66185089. The next prime is 66185143. The reversal of 66185101 is 10158166.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 50424201 + 15760900 = 7101^2 + 3970^2 .

It is a cyclic number.

It is not a de Polignac number, because 66185101 - 2⁹ = 66184589 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 66185101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (66185201) 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, 33092550 + 33092551.

It is an arithmetic number, because the mean of its divisors is an integer number (33092551).

Almost surely, 2^66185101 is an apocalyptic number.

It is an amenable number.

66185101 is a deficient number, since it is larger than the sum of its proper divisors (1).

66185101 is an equidigital number, since it uses as much as digits as its factorization.

66185101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1440, while the sum is 28.

The square root of 66185101 is about 8135.4226073388. The cubic root of 66185101 is about 404.5014461789.

The spelling of 66185101 in words is "sixty-six million, one hundred eighty-five thousand, one hundred one".