66105737 has 2 divisors, whose sum is σ = 66105738. Its totient is φ = 66105736.

The previous prime is 66105719. The next prime is 66105779. The reversal of 66105737 is 73750166.

66105737 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 59428681 + 6677056 = 7709^2 + 2584^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-66105737 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 66105697 and 66105706.

It is not a weakly prime, because it can be changed into another prime (66105037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33052868 + 33052869.

It is an arithmetic number, because the mean of its divisors is an integer number (33052869).

Almost surely, 2^66105737 is an apocalyptic number.

It is an amenable number.

66105737 is a deficient number, since it is larger than the sum of its proper divisors (1).

66105737 is an equidigital number, since it uses as much as digits as its factorization.

66105737 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 26460, while the sum is 35.

The square root of 66105737 is about 8130.5434627705. The cubic root of 66105737 is about 404.3396993377.

The spelling of 66105737 in words is "sixty-six million, one hundred five thousand, seven hundred thirty-seven".