828057257 has 2 divisors, whose sum is σ = 828057258. Its totient is φ = 828057256.

The previous prime is 828057253. The next prime is 828057317. The reversal of 828057257 is 752750828.

828057257 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 822771856 + 5285401 = 28684^2 + 2299^2 .

It is a cyclic number.

It is not a de Polignac number, because 828057257 - 2² = 828057253 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (828057253) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 414028628 + 414028629.

It is an arithmetic number, because the mean of its divisors is an integer number (414028629).

Almost surely, 2^828057257 is an apocalyptic number.

It is an amenable number.

828057257 is a deficient number, since it is larger than the sum of its proper divisors (1).

828057257 is an equidigital number, since it uses as much as digits as its factorization.

828057257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 313600, while the sum is 44.

The square root of 828057257 is about 28775.9840318277. The cubic root of 828057257 is about 939.0458316114.

The spelling of 828057257 in words is "eight hundred twenty-eight million, fifty-seven thousand, two hundred fifty-seven".