2013705 has 24 divisors (see below), whose sum is σ = 3544008. Its totient is φ = 1057536.

The previous prime is 2013703. The next prime is 2013707. The reversal of 2013705 is 5073102.

It is an interprime number because it is at equal distance from previous prime (2013703) and next prime (2013707).

It can be written as a sum of positive squares in 4 ways, for example, as 144 + 2013561 = 12^2 + 1419^2 .

It is not a de Polignac number, because 2013705 - 2¹ = 2013703 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2013703) 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 23 ways as a sum of consecutive naturals, for example, 2979 + ... + 3591.

It is an arithmetic number, because the mean of its divisors is an integer number (147667).

2^2013705 is an apocalyptic number.

It is an amenable number.

2013705 is a deficient number, since it is larger than the sum of its proper divisors (1530303).

2013705 is a wasteful number, since it uses less digits than its factorization.

2013705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 2013705 is about 1419.0507390506. The cubic root of 2013705 is about 126.2792370937.

Adding to 2013705 its reverse (5073102), we get a palindrome (7086807).

The spelling of 2013705 in words is "two million, thirteen thousand, seven hundred five".