2258713 has 2 divisors, whose sum is σ = 2258714. Its totient is φ = 2258712.

The previous prime is 2258657. The next prime is 2258717. The reversal of 2258713 is 3178522.

2258713 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., 1996569 + 262144 = 1413^2 + 512^2 .

It is a cyclic number.

It is not a de Polignac number, because 2258713 - 2¹⁷ = 2127641 is a prime.

It is not a weakly prime, because it can be changed into another prime (2258717) 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, 1129356 + 1129357.

It is an arithmetic number, because the mean of its divisors is an integer number (1129357).

2^2258713 is an apocalyptic number.

It is an amenable number.

2258713 is a deficient number, since it is larger than the sum of its proper divisors (1).

2258713 is an equidigital number, since it uses as much as digits as its factorization.

2258713 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 2258713 is about 1502.9015270469. The cubic root of 2258713 is about 131.2059964355.

The spelling of 2258713 in words is "two million, two hundred fifty-eight thousand, seven hundred thirteen".