66301 has 2 divisors, whose sum is σ = 66302. Its totient is φ = 66300.

The previous prime is 66293. The next prime is 66337. The reversal of 66301 is 10366.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 44100 + 22201 = 210^2 + 149^2 .

It is a cyclic number.

It is not a de Polignac number, because 66301 - 2³ = 66293 is a prime.

It is equal to p₆₆₁₃ and since 66301 and 6613 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (66361) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33150 + 33151.

It is an arithmetic number, because the mean of its divisors is an integer number (33151).

2⁶⁶³⁰¹ is an apocalyptic number.

It is an amenable number.

66301 is a deficient number, since it is larger than the sum of its proper divisors (1).

66301 is an equidigital number, since it uses as much as digits as its factorization.

66301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 66301 is about 257.4898056234. The cubic root of 66301 is about 40.4737420609.

Adding to 66301 its reverse (10366), we get a palindrome (76667).

The spelling of 66301 in words is "sixty-six thousand, three hundred one".