85947165887657 has 2 divisors, whose sum is σ = 85947165887658. Its totient is φ = 85947165887656.

The previous prime is 85947165887651. The next prime is 85947165887677. The reversal of 85947165887657 is 75678856174958.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 56181455894041 + 29765709993616 = 7495429^2 + 5455796^2 .

It is a cyclic number.

It is not a de Polignac number, because 85947165887657 - 2⁶ = 85947165887593 is a prime.

It is not a weakly prime, because it can be changed into another prime (85947165887651) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42973582943828 + 42973582943829.

It is an arithmetic number, because the mean of its divisors is an integer number (42973582943829).

Almost surely, 2^{85947165887657} is an apocalyptic number.

It is an amenable number.

85947165887657 is a deficient number, since it is larger than the sum of its proper divisors (1).

85947165887657 is an equidigital number, since it uses as much as digits as its factorization.

85947165887657 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 28449792000, while the sum is 86.

The spelling of 85947165887657 in words is "eighty-five trillion, nine hundred forty-seven billion, one hundred sixty-five million, eight hundred eighty-seven thousand, six hundred fifty-seven".