85887617 has 2 divisors, whose sum is σ = 85887618. Its totient is φ = 85887616.

The previous prime is 85887563. The next prime is 85887631. The reversal of 85887617 is 71678858.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 47831056 + 38056561 = 6916^2 + 6169^2 .

It is a cyclic number.

It is not a de Polignac number, because 85887617 - 2¹² = 85883521 is a prime.

It is not a weakly prime, because it can be changed into another prime (85887667) 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, 42943808 + 42943809.

It is an arithmetic number, because the mean of its divisors is an integer number (42943809).

Almost surely, 2^85887617 is an apocalyptic number.

It is an amenable number.

85887617 is a deficient number, since it is larger than the sum of its proper divisors (1).

85887617 is an equidigital number, since it uses as much as digits as its factorization.

85887617 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 752640, while the sum is 50.

The square root of 85887617 is about 9267.5572293890. The cubic root of 85887617 is about 441.2081414548.

The spelling of 85887617 in words is "eighty-five million, eight hundred eighty-seven thousand, six hundred seventeen".