66596801 has 2 divisors, whose sum is σ = 66596802. Its totient is φ = 66596800.

The previous prime is 66596687. The next prime is 66596819. The reversal of 66596801 is 10869566.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 45427600 + 21169201 = 6740^2 + 4601^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-66596801 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (66596821) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33298400 + 33298401.

It is an arithmetic number, because the mean of its divisors is an integer number (33298401).

Almost surely, 2^66596801 is an apocalyptic number.

It is an amenable number.

66596801 is a deficient number, since it is larger than the sum of its proper divisors (1).

66596801 is an equidigital number, since it uses as much as digits as its factorization.

66596801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 77760, while the sum is 41.

The square root of 66596801 is about 8160.6863069230. The cubic root of 66596801 is about 405.3384378295.

The spelling of 66596801 in words is "sixty-six million, five hundred ninety-six thousand, eight hundred one".