2005684 has 12 divisors (see below), whose sum is σ = 3521700. Its totient is φ = 999488.

The previous prime is 2005681. The next prime is 2005687. The reversal of 2005684 is 4865002.

It is an interprime number because it is at equal distance from previous prime (2005681) and next prime (2005687).

It can be written as a sum of positive squares in 2 ways, for example, as 1060900 + 944784 = 1030^2 + 972^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005681) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 912 + ... + 2200.

It is an arithmetic number, because the mean of its divisors is an integer number (293475).

2^2005684 is an apocalyptic number.

It is an amenable number.

2005684 is a deficient number, since it is larger than the sum of its proper divisors (1516016).

2005684 is a wasteful number, since it uses less digits than its factorization.

2005684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1682 (or 1680 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 2005684 is about 1416.2217340516. The cubic root of 2005684 is about 126.1113486181. Note that the first 3 decimals are identical.

The spelling of 2005684 in words is "two million, five thousand, six hundred eighty-four".