823568257 has 2 divisors, whose sum is σ = 823568258. Its totient is φ = 823568256.

The previous prime is 823568231. The next prime is 823568269. The reversal of 823568257 is 752865328.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 727704576 + 95863681 = 26976^2 + 9791^2 .

It is a cyclic number.

It is not a de Polignac number, because 823568257 - 2¹¹ = 823566209 is a prime.

It is not a weakly prime, because it can be changed into another prime (823568287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 411784128 + 411784129.

It is an arithmetic number, because the mean of its divisors is an integer number (411784129).

Almost surely, 2^823568257 is an apocalyptic number.

It is an amenable number.

823568257 is a deficient number, since it is larger than the sum of its proper divisors (1).

823568257 is an equidigital number, since it uses as much as digits as its factorization.

823568257 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 806400, while the sum is 46.

The square root of 823568257 is about 28697.8789634356. The cubic root of 823568257 is about 937.3458617581.

The spelling of 823568257 in words is "eight hundred twenty-three million, five hundred sixty-eight thousand, two hundred fifty-seven".