66745313 has 2 divisors, whose sum is σ = 66745314. Its totient is φ = 66745312.

The previous prime is 66745249. The next prime is 66745319. The reversal of 66745313 is 31354766.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 34845409 + 31899904 = 5903^2 + 5648^2 .

It is a cyclic number.

It is not a de Polignac number, because 66745313 - 2⁶ = 66745249 is a prime.

It is equal to p_3937661 and since 66745313 and 3937661 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (66745319) 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, 33372656 + 33372657.

It is an arithmetic number, because the mean of its divisors is an integer number (33372657).

Almost surely, 2^66745313 is an apocalyptic number.

It is an amenable number.

66745313 is a deficient number, since it is larger than the sum of its proper divisors (1).

66745313 is an equidigital number, since it uses as much as digits as its factorization.

66745313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 45360, while the sum is 35.

The square root of 66745313 is about 8169.7804744069. The cubic root of 66745313 is about 405.6395180079.

The spelling of 66745313 in words is "sixty-six million, seven hundred forty-five thousand, three hundred thirteen".