85017827 has 2 divisors, whose sum is σ = 85017828. Its totient is φ = 85017826.

The previous prime is 85017809. The next prime is 85017839. The reversal of 85017827 is 72871058.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 85017827 - 2¹⁴ = 85001443 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (85017857) 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, 42508913 + 42508914.

It is an arithmetic number, because the mean of its divisors is an integer number (42508914).

Almost surely, 2^85017827 is an apocalyptic number.

85017827 is a deficient number, since it is larger than the sum of its proper divisors (1).

85017827 is an equidigital number, since it uses as much as digits as its factorization.

85017827 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 31360, while the sum is 38.

The square root of 85017827 is about 9220.5112114242. The cubic root of 85017827 is about 439.7137032172.

The spelling of 85017827 in words is "eighty-five million, seventeen thousand, eight hundred twenty-seven".