66586 has 12 divisors (see below), whose sum is σ = 108702. Its totient is φ = 30576.

The previous prime is 66571. The next prime is 66587. The reversal of 66586 is 68566.

It can be written as a sum of positive squares in 3 ways, for example, as 53361 + 13225 = 231^2 + 115^2 .

It is not an unprimeable number, because it can be changed into a prime (66587) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 240 + ... + 436.

2⁶⁶⁵⁸⁶ is an apocalyptic number.

66586 is a deficient number, since it is larger than the sum of its proper divisors (42116).

66586 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (66585) it forms an eRAP, since the sums of their prime factors are consecutive (224 and 225).

66586 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 212 counting only the distinct ones).

The product of its digits is 8640, while the sum is 31.

The square root of 66586 is about 258.0426321366. The cubic root of 66586 is about 40.5316523378.

The spelling of 66586 in words is "sixty-six thousand, five hundred eighty-six".