66713 has 2 divisors, whose sum is σ = 66714. Its totient is φ = 66712.

The previous prime is 66701. The next prime is 66721. The reversal of 66713 is 31766.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 64009 + 2704 = 253^2 + 52^2 .

It is a cyclic number.

It is not a de Polignac number, because 66713 - 2⁴ = 66697 is a prime.

It is a plaindrome in base 9 and base 13.

It is not a weakly prime, because it can be changed into another prime (66733) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33356 + 33357.

It is an arithmetic number, because the mean of its divisors is an integer number (33357).

2⁶⁶⁷¹³ is an apocalyptic number.

It is an amenable number.

66713 is a deficient number, since it is larger than the sum of its proper divisors (1).

66713 is an equidigital number, since it uses as much as digits as its factorization.

66713 is an evil number, because the sum of its binary digits is even.

The product of its digits is 756, while the sum is 23.

The square root of 66713 is about 258.2885982772. The cubic root of 66713 is about 40.5574047516.

The spelling of 66713 in words is "sixty-six thousand, seven hundred thirteen".