66589273 has 2 divisors, whose sum is σ = 66589274. Its totient is φ = 66589272.

The previous prime is 66589183. The next prime is 66589283. The reversal of 66589273 is 37298566.

66589273 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 65480464 + 1108809 = 8092^2 + 1053^2 .

It is a cyclic number.

It is not a de Polignac number, because 66589273 - 2⁹ = 66588761 is a prime.

It is not a weakly prime, because it can be changed into another prime (66589283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33294636 + 33294637.

It is an arithmetic number, because the mean of its divisors is an integer number (33294637).

Almost surely, 2^66589273 is an apocalyptic number.

It is an amenable number.

66589273 is a deficient number, since it is larger than the sum of its proper divisors (1).

66589273 is an equidigital number, since it uses as much as digits as its factorization.

66589273 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 544320, while the sum is 46.

The square root of 66589273 is about 8160.2250581709. The cubic root of 66589273 is about 405.3231643093.

It can be divided in two parts, 6658 and 9273, that added together give a triangular number (15931 = T₁₇₈).

The spelling of 66589273 in words is "sixty-six million, five hundred eighty-nine thousand, two hundred seventy-three".