2013749 has 2 divisors, whose sum is σ = 2013750. Its totient is φ = 2013748.

The previous prime is 2013743. The next prime is 2013751. The reversal of 2013749 is 9473102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2010724 + 3025 = 1418^2 + 55^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2013749 is a prime.

Together with 2013751, it forms a pair of twin primes.

It is a Chen prime.

It is a plaindrome in base 13.

It is a congruent number.

It is not a weakly prime, because it can be changed into another 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 as a sum of consecutive naturals, namely, 1006874 + 1006875.

It is an arithmetic number, because the mean of its divisors is an integer number (1006875).

2^2013749 is an apocalyptic number.

It is an amenable number.

2013749 is a deficient number, since it is larger than the sum of its proper divisors (1).

2013749 is an equidigital number, since it uses as much as digits as its factorization.

2013749 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1512, while the sum is 26.

The square root of 2013749 is about 1419.0662422875. The cubic root of 2013749 is about 126.2801568322.

The spelling of 2013749 in words is "two million, thirteen thousand, seven hundred forty-nine".