85065593 has 2 divisors, whose sum is σ = 85065594. Its totient is φ = 85065592.

The previous prime is 85065521. The next prime is 85065623. The reversal of 85065593 is 39556058.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 45589504 + 39476089 = 6752^2 + 6283^2 .

It is a cyclic number.

It is not a de Polignac number, because 85065593 - 2¹² = 85061497 is a prime.

It is a super-2 number, since 2×85065593² = 14472310224883298, which contains 22 as substring.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 85065593.

It is not a weakly prime, because it can be changed into another prime (85065503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42532796 + 42532797.

It is an arithmetic number, because the mean of its divisors is an integer number (42532797).

Almost surely, 2^85065593 is an apocalyptic number.

It is an amenable number.

85065593 is a deficient number, since it is larger than the sum of its proper divisors (1).

85065593 is an equidigital number, since it uses as much as digits as its factorization.

85065593 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162000, while the sum is 41.

The square root of 85065593 is about 9223.1010511649. The cubic root of 85065593 is about 439.7960366651.

It can be divided in two parts, 85065 and 593, that added together give a palindrome (85658).

The spelling of 85065593 in words is "eighty-five million, sixty-five thousand, five hundred ninety-three".