66858301 has 2 divisors, whose sum is σ = 66858302. Its totient is φ = 66858300.

The previous prime is 66858287. The next prime is 66858307. The reversal of 66858301 is 10385866.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 65626201 + 1232100 = 8101^2 + 1110^2 .

It is a cyclic number.

It is not a de Polignac number, because 66858301 - 2⁷ = 66858173 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (66858307) 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, 33429150 + 33429151.

It is an arithmetic number, because the mean of its divisors is an integer number (33429151).

Almost surely, 2^66858301 is an apocalyptic number.

It is an amenable number.

66858301 is a deficient number, since it is larger than the sum of its proper divisors (1).

66858301 is an equidigital number, since it uses as much as digits as its factorization.

66858301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 66858301 is about 8176.6925465007. The cubic root of 66858301 is about 405.8682809380.

The spelling of 66858301 in words is "sixty-six million, eight hundred fifty-eight thousand, three hundred one".