2085209 has 16 divisors (see below), whose sum is σ = 2502528. Its totient is φ = 1700352.

The previous prime is 2085197. The next prime is 2085217. The reversal of 2085209 is 9025802.

2085209 = 130² + 131² + ... + 203².

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2085209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2085229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21449 + ... + 21545.

It is an arithmetic number, because the mean of its divisors is an integer number (156408).

2^2085209 is an apocalyptic number.

It is an amenable number.

2085209 is a deficient number, since it is larger than the sum of its proper divisors (417319).

2085209 is an equidigital number, since it uses as much as digits as its factorization.

2085209 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 (nonzero) digits is 1440, while the sum is 26.

The square root of 2085209 is about 1444.0252767871. The cubic root of 2085209 is about 127.7565563301.

The spelling of 2085209 in words is "two million, eighty-five thousand, two hundred nine".