85947165887617 has 8 divisors (see below), whose sum is σ = 89935535137896. Its totient is φ = 82046453104512.

The previous prime is 85947165887593. The next prime is 85947165887651. The reversal of 85947165887617 is 71678856174958.

It can be written as a sum of positive squares in 4 ways, for example, as 51305360026176 + 34641805861441 = 7162776^2 + 5885729^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 85947165887617 - 2⁴³ = 77151072865409 is a prime.

It is a super-2 number, since 2×85947165887617² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (85947165887657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21914114788 + ... + 21914118709.

It is an arithmetic number, because the mean of its divisors is an integer number (11241941892237).

Almost surely, 2^{85947165887617} is an apocalyptic number.

It is an amenable number.

85947165887617 is a deficient number, since it is larger than the sum of its proper divisors (3988369250279).

85947165887617 is a wasteful number, since it uses less digits than its factorization.

85947165887617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43828233587.

The product of its digits is 5689958400, while the sum is 82.

The spelling of 85947165887617 in words is "eighty-five trillion, nine hundred forty-seven billion, one hundred sixty-five million, eight hundred eighty-seven thousand, six hundred seventeen".