830257 has 2 divisors, whose sum is σ = 830258. Its totient is φ = 830256.

The previous prime is 830237. The next prime is 830267. The reversal of 830257 is 752038.

830257 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., 564001 + 266256 = 751^2 + 516^2 .

It is a cyclic number.

It is not a de Polignac number, because 830257 - 2¹¹ = 828209 is a prime.

It is a d-powerful number, because it can be written as 8² + 3⁸ + 2⁶ + 0 + 5² + 7⁷ .

It is not a weakly prime, because it can be changed into another prime (830237) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 415128 + 415129.

It is an arithmetic number, because the mean of its divisors is an integer number (415129).

2⁸³⁰²⁵⁷ is an apocalyptic number.

It is an amenable number.

830257 is a deficient number, since it is larger than the sum of its proper divisors (1).

830257 is an equidigital number, since it uses as much as digits as its factorization.

830257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 830257 is about 911.1843940718. The cubic root of 830257 is about 93.9876624822.

The spelling of 830257 in words is "eight hundred thirty thousand, two hundred fifty-seven".