85016009 has 8 divisors (see below), whose sum is σ = 91890120. Its totient is φ = 78189696.

The previous prime is 85015999. The next prime is 85016011. The reversal of 85016009 is 90061058.

It can be written as a sum of positive squares in 4 ways, for example, as 2569609 + 82446400 = 1603^2 + 9080^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 85016009 - 2⁴ = 85015993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (85016059) 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 in 7 ways as a sum of consecutive naturals, for example, 8204 + ... + 15405.

It is an arithmetic number, because the mean of its divisors is an integer number (11486265).

It is the magic constant of a 554 × 554 magic square.

Almost surely, 2^85016009 is an apocalyptic number.

It is an amenable number.

85016009 is a deficient number, since it is larger than the sum of its proper divisors (6874111).

85016009 is a wasteful number, since it uses less digits than its factorization.

85016009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23899.

The product of its (nonzero) digits is 2160, while the sum is 29.

The square root of 85016009 is about 9220.4126263416. The cubic root of 85016009 is about 439.7105689521.

The spelling of 85016009 in words is "eighty-five million, sixteen thousand, nine".