2013741 has 12 divisors (see below), whose sum is σ = 3016832. Its totient is φ = 1342332.

The previous prime is 2013727. The next prime is 2013743. The reversal of 2013741 is 1473102.

It is not a de Polignac number, because 2013741 - 2⁵ = 2013709 is a prime.

It is a Duffinian number.

2013741 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013743) 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, 3901 + ... + 4386.

2^2013741 is an apocalyptic number.

It is an amenable number.

2013741 is a deficient number, since it is larger than the sum of its proper divisors (1003091).

2013741 is an frugal number, since it uses more digits than its factorization.

2013741 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8302 (or 8290 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 2013741 is about 1419.0634235298. The cubic root of 2013741 is about 126.2799896080.

Adding to 2013741 its reverse (1473102), we get a palindrome (3486843).

The spelling of 2013741 in words is "two million, thirteen thousand, seven hundred forty-one".