66805201 has 2 divisors, whose sum is σ = 66805202. Its totient is φ = 66805200.

The previous prime is 66805181. The next prime is 66805229. The reversal of 66805201 is 10250866.

It is an a-pointer prime, because the next prime (66805229) can be obtained adding 66805201 to its sum of digits (28).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 61606801 + 5198400 = 7849^2 + 2280^2 .

It is a cyclic number.

It is not a de Polignac number, because 66805201 - 2⁷ = 66805073 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 66805201.

It is not a weakly prime, because it can be changed into another prime (66805301) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33402600 + 33402601.

It is an arithmetic number, because the mean of its divisors is an integer number (33402601).

Almost surely, 2^66805201 is an apocalyptic number.

It is an amenable number.

66805201 is a deficient number, since it is larger than the sum of its proper divisors (1).

66805201 is an equidigital number, since it uses as much as digits as its factorization.

66805201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 66805201 is about 8173.4448673739. Note that the first 3 decimals coincide. The cubic root of 66805201 is about 405.7608033151.

It can be divided in two parts, 6680 and 5201, that added together give a square (11881 = 109²).

The spelling of 66805201 in words is "sixty-six million, eight hundred five thousand, two hundred one".