2013993 has 12 divisors (see below), whose sum is σ = 2937220. Its totient is φ = 1329696.

The previous prime is 2013989. The next prime is 2014009. The reversal of 2013993 is 3993102.

It can be written as a sum of positive squares in 2 ways, for example, as 1225449 + 788544 = 1107^2 + 888^2 .

It is not a de Polignac number, because 2013993 - 2² = 2013989 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2013923) 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 11 ways as a sum of consecutive naturals, for example, 46 + ... + 2007.

2^2013993 is an apocalyptic number.

It is an amenable number.

2013993 is a deficient number, since it is larger than the sum of its proper divisors (923227).

2013993 is a wasteful number, since it uses less digits than its factorization.

2013993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2168 (or 2165 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The square root of 2013993 is about 1419.1522117095. The cubic root of 2013993 is about 126.2852569570.

The spelling of 2013993 in words is "two million, thirteen thousand, nine hundred ninety-three".