85915657 has 2 divisors, whose sum is σ = 85915658. Its totient is φ = 85915656.

The previous prime is 85915639. The next prime is 85915667. The reversal of 85915657 is 75651958.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 85914361 + 1296 = 9269^2 + 36^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-85915657 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (85915667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42957828 + 42957829.

It is an arithmetic number, because the mean of its divisors is an integer number (42957829).

Almost surely, 2^85915657 is an apocalyptic number.

85915657 is the 5352-nd hex number.

It is an amenable number.

85915657 is a deficient number, since it is larger than the sum of its proper divisors (1).

85915657 is an equidigital number, since it uses as much as digits as its factorization.

85915657 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 378000, while the sum is 46.

The square root of 85915657 is about 9269.0699101906. The cubic root of 85915657 is about 441.2561504331.

The spelling of 85915657 in words is "eighty-five million, nine hundred fifteen thousand, six hundred fifty-seven".