2002113 has 12 divisors (see below), whose sum is σ = 2913300. Its totient is φ = 1324896.

The previous prime is 2002093. The next prime is 2002151. The reversal of 2002113 is 3112002.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 986049 + 1016064 = 993^2 + 1008^2 .

It is not a de Polignac number, because 2002113 - 2¹³ = 1993921 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2002095 and 2002104.

It is not an unprimeable number, because it can be changed into a prime (2002313) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 595 + ... + 2087.

It is an arithmetic number, because the mean of its divisors is an integer number (242775).

2^2002113 is an apocalyptic number.

It is an amenable number.

2002113 is a deficient number, since it is larger than the sum of its proper divisors (911187).

2002113 is a wasteful number, since it uses less digits than its factorization.

2002113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1648 (or 1645 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 2002113 is about 1414.9604234748. The cubic root of 2002113 is about 126.0364595926.

Adding to 2002113 its reverse (3112002), we get a palindrome (5114115).

The spelling of 2002113 in words is "two million, two thousand, one hundred thirteen".