85457017 has 2 divisors, whose sum is σ = 85457018. Its totient is φ = 85457016.

The previous prime is 85456963. The next prime is 85457023. The reversal of 85457017 is 71075458.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 51538041 + 33918976 = 7179^2 + 5824^2 .

It is a cyclic number.

It is not a de Polignac number, because 85457017 - 2¹¹ = 85454969 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (85457027) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42728508 + 42728509.

It is an arithmetic number, because the mean of its divisors is an integer number (42728509).

Almost surely, 2^85457017 is an apocalyptic number.

It is an amenable number.

85457017 is a deficient number, since it is larger than the sum of its proper divisors (1).

85457017 is an equidigital number, since it uses as much as digits as its factorization.

85457017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 39200, while the sum is 37.

The square root of 85457017 is about 9244.2964578166. The cubic root of 85457017 is about 440.4695692883.

The spelling of 85457017 in words is "eighty-five million, four hundred fifty-seven thousand, seventeen".