8505257 has 2 divisors, whose sum is σ = 8505258. Its totient is φ = 8505256.

The previous prime is 8505247. The next prime is 8505269. The reversal of 8505257 is 7525058.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6130576 + 2374681 = 2476^2 + 1541^2 .

It is a cyclic number.

It is not a de Polignac number, because 8505257 - 2⁸ = 8505001 is a prime.

It is not a weakly prime, because it can be changed into another prime (8505247) 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, 4252628 + 4252629.

It is an arithmetic number, because the mean of its divisors is an integer number (4252629).

Almost surely, 2^8505257 is an apocalyptic number.

It is an amenable number.

8505257 is a deficient number, since it is larger than the sum of its proper divisors (1).

8505257 is an equidigital number, since it uses as much as digits as its factorization.

8505257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14000, while the sum is 32.

The square root of 8505257 is about 2916.3773761295. The cubic root of 8505257 is about 204.1248194857.

The spelling of 8505257 in words is "eight million, five hundred five thousand, two hundred fifty-seven".