2102085 has 32 divisors (see below), whose sum is σ = 3905280. Its totient is φ = 1070784.

The previous prime is 2102083. The next prime is 2102099. The reversal of 2102085 is 5802012.

It is not a de Polignac number, because 2102085 - 2¹ = 2102083 is a prime.

It is a super-2 number, since 2×2102085² = 8837522694450, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2767 + ... + 3443.

It is an arithmetic number, because the mean of its divisors is an integer number (122040).

2^2102085 is an apocalyptic number.

It is an amenable number.

2102085 is a deficient number, since it is larger than the sum of its proper divisors (1803195).

2102085 is a wasteful number, since it uses less digits than its factorization.

2102085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714 (or 708 counting only the distinct ones).

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

The square root of 2102085 is about 1449.8568894894. The cubic root of 2102085 is about 128.1002835527.

Adding to 2102085 its reverse (5802012), we get a palindrome (7904097).

The spelling of 2102085 in words is "two million, one hundred two thousand, eighty-five".