2257813 has 2 divisors, whose sum is σ = 2257814. Its totient is φ = 2257812.

The previous prime is 2257799. The next prime is 2257819. The reversal of 2257813 is 3187522.

2257813 = 1062² + 1063².

2257813 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., 1129969 + 1127844 = 1063^2 + 1062^2 .

It is a cyclic number.

It is not a de Polignac number, because 2257813 - 2⁵ = 2257781 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2257819) 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, 1128906 + 1128907.

It is an arithmetic number, because the mean of its divisors is an integer number (1128907).

2^2257813 is an apocalyptic number.

2257813 is the 1063-rd centered square number.

It is an amenable number.

2257813 is a deficient number, since it is larger than the sum of its proper divisors (1).

2257813 is an equidigital number, since it uses as much as digits as its factorization.

2257813 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3360, while the sum is 28.

The square root of 2257813 is about 1502.6020763995. The cubic root of 2257813 is about 131.1885674712.

The spelling of 2257813 in words is "two million, two hundred fifty-seven thousand, eight hundred thirteen".