85968257 has 2 divisors, whose sum is σ = 85968258. Its totient is φ = 85968256.

The previous prime is 85968221. The next prime is 85968283. The reversal of 85968257 is 75286958.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 57623281 + 28344976 = 7591^2 + 5324^2 .

It is a cyclic number.

It is not a de Polignac number, because 85968257 - 2⁶ = 85968193 is a prime.

It is not a weakly prime, because it can be changed into another prime (85962257) 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, 42984128 + 42984129.

It is an arithmetic number, because the mean of its divisors is an integer number (42984129).

Almost surely, 2^85968257 is an apocalyptic number.

It is an amenable number.

85968257 is a deficient number, since it is larger than the sum of its proper divisors (1).

85968257 is an equidigital number, since it uses as much as digits as its factorization.

85968257 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1209600, while the sum is 50.

The square root of 85968257 is about 9271.9068696790. The cubic root of 85968257 is about 441.3461819024.

The spelling of 85968257 in words is "eighty-five million, nine hundred sixty-eight thousand, two hundred fifty-seven".