2013687 has 16 divisors (see below), whose sum is σ = 3213280. Its totient is φ = 1238976.

The previous prime is 2013679. The next prime is 2013703. The reversal of 2013687 is 7863102.

It is not a de Polignac number, because 2013687 - 2³ = 2013679 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2013687.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013617) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2518 + ... + 3219.

It is an arithmetic number, because the mean of its divisors is an integer number (200830).

2^2013687 is an apocalyptic number.

2013687 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

2013687 is a deficient number, since it is larger than the sum of its proper divisors (1199593).

2013687 is a wasteful number, since it uses less digits than its factorization.

2013687 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5759 (or 5753 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 2013687 is about 1419.0443967685. The cubic root of 2013687 is about 126.2788608332.

Adding to 2013687 its reverse (7863102), we get a palindrome (9876789).

The spelling of 2013687 in words is "two million, thirteen thousand, six hundred eighty-seven".