85503617 has 2 divisors, whose sum is σ = 85503618. Its totient is φ = 85503616.

The previous prime is 85503547. The next prime is 85503619. The reversal of 85503617 is 71630558.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 62473216 + 23030401 = 7904^2 + 4799^2 .

It is a cyclic number.

It is not a de Polignac number, because 85503617 - 2⁸ = 85503361 is a prime.

Together with 85503619, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (85503619) 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, 42751808 + 42751809.

It is an arithmetic number, because the mean of its divisors is an integer number (42751809).

Almost surely, 2^85503617 is an apocalyptic number.

It is an amenable number.

85503617 is a deficient number, since it is larger than the sum of its proper divisors (1).

85503617 is an equidigital number, since it uses as much as digits as its factorization.

85503617 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 25200, while the sum is 35.

The square root of 85503617 is about 9246.8165873451. The cubic root of 85503617 is about 440.5496179211.

It can be divided in two parts, 8550 and 3617, that added together give a cube (12167 = 23³).

The spelling of 85503617 in words is "eighty-five million, five hundred three thousand, six hundred seventeen".