2005641 has 20 divisors (see below), whose sum is σ = 3269904. Its totient is φ = 1215000.

The previous prime is 2005613. The next prime is 2005667. The reversal of 2005641 is 1465002.

It is a happy number.

2005641 is a `hidden beast` number, since 20 + 0 + 5 + 641 = 666.

It is not a de Polignac number, because 2005641 - 2¹¹ = 2003593 is a prime.

It is a Curzon number.

2005641 is a lucky number.

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

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 235 + ... + 2016.

2^2005641 is an apocalyptic number.

It is an amenable number.

2005641 is a deficient number, since it is larger than the sum of its proper divisors (1264263).

2005641 is a wasteful number, since it uses less digits than its factorization.

2005641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2274 (or 2265 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 2005641 is about 1416.2065527316. The cubic root of 2005641 is about 126.1104473749.

The spelling of 2005641 in words is "two million, five thousand, six hundred forty-one".