210585 has 16 divisors (see below), whose sum is σ = 342720. Its totient is φ = 110400.

The previous prime is 210557. The next prime is 210599. The reversal of 210585 is 585012.

It is not a de Polignac number, because 210585 - 2¹² = 206489 is a prime.

It is an alternating number because its digits alternate between even and odd.

It is a plaindrome in base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 210585.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1446 + ... + 1584.

It is an arithmetic number, because the mean of its divisors is an integer number (21420).

2²¹⁰⁵⁸⁵ is an apocalyptic number.

It is an amenable number.

210585 is a deficient number, since it is larger than the sum of its proper divisors (132135).

210585 is a wasteful number, since it uses less digits than its factorization.

210585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248.

The product of its (nonzero) digits is 400, while the sum is 21.

The square root of 210585 is about 458.8954129211. The cubic root of 210585 is about 59.4943619166.

Adding to 210585 its reverse (585012), we get a palindrome (795597).

The spelling of 210585 in words is "two hundred ten thousand, five hundred eighty-five".