85204017 has 24 divisors (see below), whose sum is σ = 130748904. Its totient is φ = 53282304.

The previous prime is 85204013. The next prime is 85204033. The reversal of 85204017 is 71040258.

It can be written as a sum of positive squares in 4 ways, for example, as 41525136 + 43678881 = 6444^2 + 6609^2 .

It is not a de Polignac number, because 85204017 - 2² = 85204013 is a prime.

It is not an unprimeable number, because it can be changed into a prime (85204013) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56323 + ... + 57815.

It is an arithmetic number, because the mean of its divisors is an integer number (5447871).

Almost surely, 2^85204017 is an apocalyptic number.

It is an amenable number.

85204017 is a deficient number, since it is larger than the sum of its proper divisors (45544887).

85204017 is a wasteful number, since it uses less digits than its factorization.

85204017 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1889 (or 1886 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 85204017 is about 9230.6022013734. The cubic root of 85204017 is about 440.0344618325.

It can be divided in two parts, 8 and 5204017, that added together give a palindrome (5204025).

The spelling of 85204017 in words is "eighty-five million, two hundred four thousand, seventeen".