2005913 has 24 divisors (see below), whose sum is σ = 2604672. Its totient is φ = 1530144.

The previous prime is 2005903. The next prime is 2005919. The reversal of 2005913 is 3195002.

It is not a de Polignac number, because 2005913 - 2¹⁶ = 1940377 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2005919) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29906 + ... + 29972.

It is an arithmetic number, because the mean of its divisors is an integer number (108528).

2^2005913 is an apocalyptic number.

It is an amenable number.

2005913 is a deficient number, since it is larger than the sum of its proper divisors (598759).

2005913 is a wasteful number, since it uses less digits than its factorization.

2005913 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 20.

The square root of 2005913 is about 1416.3025806656. The cubic root of 2005913 is about 126.1161480447.

The spelling of 2005913 in words is "two million, five thousand, nine hundred thirteen".