2009085 has 16 divisors (see below), whose sum is σ = 3462144. Its totient is φ = 988992.

The previous prime is 2009083. The next prime is 2009093. The reversal of 2009085 is 5809002.

It is not a de Polignac number, because 2009085 - 2¹ = 2009083 is a prime.

2009085 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2009083) 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, 4957 + ... + 5346.

It is an arithmetic number, because the mean of its divisors is an integer number (216384).

2^2009085 is an apocalyptic number.

It is an amenable number.

2009085 is a deficient number, since it is larger than the sum of its proper divisors (1453059).

2009085 is a wasteful number, since it uses less digits than its factorization.

2009085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10324.

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

The square root of 2009085 is about 1417.4219555235. The cubic root of 2009085 is about 126.1825898997.

The spelling of 2009085 in words is "two million, nine thousand, eighty-five".