585966 has 16 divisors (see below), whose sum is σ = 1191888. Its totient is φ = 192000.

The previous prime is 585953. The next prime is 585989. The reversal of 585966 is 669585.

It is a plaindrome in base 14.

It is a congruent number.

It is an unprimeable number.

585966 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 435 + ... + 1166.

It is an arithmetic number, because the mean of its divisors is an integer number (74493).

2⁵⁸⁵⁹⁶⁶ is an apocalyptic number.

585966 is an abundant number, since it is smaller than the sum of its proper divisors (605922).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

585966 is a wasteful number, since it uses less digits than its factorization.

585966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1667.

The product of its digits is 64800, while the sum is 39.

The square root of 585966 is about 765.4841605154. The cubic root of 585966 is about 83.6804754557.

It can be divided in two parts, 585 and 966, that added together give a palindrome (1551).

The spelling of 585966 in words is "five hundred eighty-five thousand, nine hundred sixty-six".