2137813 has 2 divisors, whose sum is σ = 2137814. Its totient is φ = 2137812.

The previous prime is 2137771. The next prime is 2137829. The reversal of 2137813 is 3187312.

2137813 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1737124 + 400689 = 1318^2 + 633^2 .

It is a cyclic number.

It is not a de Polignac number, because 2137813 - 2⁹ = 2137301 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2137613) 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 as a sum of consecutive naturals, namely, 1068906 + 1068907.

It is an arithmetic number, because the mean of its divisors is an integer number (1068907).

2^2137813 is an apocalyptic number.

It is an amenable number.

2137813 is a deficient number, since it is larger than the sum of its proper divisors (1).

2137813 is an equidigital number, since it uses as much as digits as its factorization.

2137813 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1008, while the sum is 25.

The square root of 2137813 is about 1462.1261915444. The cubic root of 2137813 is about 128.8219605894.

The spelling of 2137813 in words is "two million, one hundred thirty-seven thousand, eight hundred thirteen".