85008641 has 12 divisors (see below), whose sum is σ = 90283284. Its totient is φ = 80028000.

The previous prime is 85008629. The next prime is 85008643. The reversal of 85008641 is 14680058.

It can be written as a sum of positive squares in 2 ways, for example, as 442225 + 84566416 = 665^2 + 9196^2 .

It is not a de Polignac number, because 85008641 - 2¹⁰ = 85007617 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 85008598 and 85008607.

It is not an unprimeable number, because it can be changed into a prime (85008643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64691 + ... + 65991.

It is an arithmetic number, because the mean of its divisors is an integer number (7523607).

Almost surely, 2^85008641 is an apocalyptic number.

It is an amenable number.

85008641 is a deficient number, since it is larger than the sum of its proper divisors (5274643).

85008641 is a wasteful number, since it uses less digits than its factorization.

85008641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1520 (or 1501 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The square root of 85008641 is about 9220.0130694051. The cubic root of 85008641 is about 439.6978659287.

Adding to 85008641 its reverse (14680058), we get a palindrome (99688699).

The spelling of 85008641 in words is "eighty-five million, eight thousand, six hundred forty-one".