209085 has 16 divisors (see below), whose sum is σ = 342144. Its totient is φ = 108992.

The previous prime is 209071. The next prime is 209089. The reversal of 209085 is 580902.

209085 = T₆₁ + T₆₂ + ... + T₁₁₃.

It is a cyclic number.

It is not a de Polignac number, because 209085 - 2⁶ = 209021 is a prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 209085.

It is not an unprimeable number, because it can be changed into a prime (209089) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 664 + ... + 926.

It is an arithmetic number, because the mean of its divisors is an integer number (21384).

2²⁰⁹⁰⁸⁵ is an apocalyptic number.

It is an amenable number.

209085 is a deficient number, since it is larger than the sum of its proper divisors (133059).

209085 is a wasteful number, since it uses less digits than its factorization.

209085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324.

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 209085 is about 457.2581327872. The cubic root of 209085 is about 59.3527654513.

Adding to 209085 its reverse (580902), we get a palindrome (789987).

The spelling of 209085 in words is "two hundred nine thousand, eighty-five".