66589 has 4 divisors (see below), whose sum is σ = 70524. Its totient is φ = 62656.

The previous prime is 66587. The next prime is 66593. The reversal of 66589 is 98566.

66589 = 8² + 9² + ... + 58².

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 52900 + 13689 = 230^2 + 117^2 .

It is a cyclic number.

It is not a de Polignac number, because 66589 - 2¹ = 66587 is a prime.

It is a Duffinian number.

It is a congruent number.

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

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1942 + ... + 1975.

It is an arithmetic number, because the mean of its divisors is an integer number (17631).

2⁶⁶⁵⁸⁹ is an apocalyptic number.

It is an amenable number.

66589 is a deficient number, since it is larger than the sum of its proper divisors (3935).

66589 is a wasteful number, since it uses less digits than its factorization.

66589 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3934.

The product of its digits is 12960, while the sum is 34.

The square root of 66589 is about 258.0484450641. The cubic root of 66589 is about 40.5322610399.

The spelling of 66589 in words is "sixty-six thousand, five hundred eighty-nine".