85604257 has 2 divisors, whose sum is σ = 85604258. Its totient is φ = 85604256.

The previous prime is 85604251. The next prime is 85604263. The reversal of 85604257 is 75240658.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (85604251) and next prime (85604263).

It can be written as a sum of positive squares in only one way, i.e., 57820816 + 27783441 = 7604^2 + 5271^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-85604257 is a prime.

It is not a weakly prime, because it can be changed into another prime (85604251) 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, 42802128 + 42802129.

It is an arithmetic number, because the mean of its divisors is an integer number (42802129).

Almost surely, 2^85604257 is an apocalyptic number.

It is an amenable number.

85604257 is a deficient number, since it is larger than the sum of its proper divisors (1).

85604257 is an equidigital number, since it uses as much as digits as its factorization.

85604257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 67200, while the sum is 37.

The square root of 85604257 is about 9252.2568598153. The cubic root of 85604257 is about 440.7223963026.

The spelling of 85604257 in words is "eighty-five million, six hundred four thousand, two hundred fifty-seven".