66701 has 2 divisors, whose sum is σ = 66702. Its totient is φ = 66700.

The previous prime is 66697. The next prime is 66713. The reversal of 66701 is 10766.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 51076 + 15625 = 226^2 + 125^2 .

It is a cyclic number.

It is not a de Polignac number, because 66701 - 2² = 66697 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a plaindrome in base 13.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (66721) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33350 + 33351.

It is an arithmetic number, because the mean of its divisors is an integer number (33351).

2⁶⁶⁷⁰¹ is an apocalyptic number.

66701 is the 116-th centered decagonal number.

It is an amenable number.

66701 is a deficient number, since it is larger than the sum of its proper divisors (1).

66701 is an equidigital number, since it uses as much as digits as its factorization.

66701 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 252, while the sum is 20.

The square root of 66701 is about 258.2653674034. The cubic root of 66701 is about 40.5549728515.

It can be divided in two parts, 66 and 701, that added together give a palindrome (767).

The spelling of 66701 in words is "sixty-six thousand, seven hundred one".