2012085 has 24 divisors (see below), whose sum is σ = 3549624. Its totient is φ = 1054080.

The previous prime is 2012083. The next prime is 2012093. The reversal of 2012085 is 5802102.

2012085 = 63² + 64² + ... + 184².

It can be written as a sum of positive squares in 4 ways, for example, as 221841 + 1790244 = 471^2 + 1338^2 .

It is not a de Polignac number, because 2012085 - 2¹ = 2012083 is a prime.

2012085 is a lucky number.

It is a plaindrome in base 13.

It is a zygodrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2012083) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2379 + ... + 3111.

It is an arithmetic number, because the mean of its divisors is an integer number (147901).

2^2012085 is an apocalyptic number.

It is an amenable number.

2012085 is a deficient number, since it is larger than the sum of its proper divisors (1537539).

2012085 is a wasteful number, since it uses less digits than its factorization.

2012085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 805 (or 802 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 2012085 is about 1418.4798200891. The cubic root of 2012085 is about 126.2453646633.

Adding to 2012085 its reverse (5802102), we get a palindrome (7814187).

The spelling of 2012085 in words is "two million, twelve thousand, eighty-five".