66585 has 16 divisors (see below), whose sum is σ = 111744. Its totient is φ = 33792.

The previous prime is 66571. The next prime is 66587. The reversal of 66585 is 58566.

66585 is nontrivially palindromic in base 14.

It is not a de Polignac number, because 66585 - 2⁴ = 66569 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 66585.

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 15 ways as a sum of consecutive naturals, for example, 249 + ... + 441.

It is an arithmetic number, because the mean of its divisors is an integer number (6984).

2⁶⁶⁵⁸⁵ is an apocalyptic number.

It is an amenable number.

66585 is a deficient number, since it is larger than the sum of its proper divisors (45159).

66585 is a wasteful number, since it uses less digits than its factorization.

With its successor (66586) it forms an eRAP, since the sums of their prime factors are consecutive (224 and 225).

66585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224.

The product of its digits is 7200, while the sum is 30.

The square root of 66585 is about 258.0406944650. The cubic root of 66585 is about 40.5314494330.

The spelling of 66585 in words is "sixty-six thousand, five hundred eighty-five".