85640101 has 16 divisors (see below), whose sum is σ = 92545200. Its totient is φ = 78962688.

The previous prime is 85640099. The next prime is 85640111. The reversal of 85640101 is 10104658.

85640101 = 324² + 325² + ... + 662².

It can be written as a sum of positive squares in 8 ways, for example, as 2356225 + 83283876 = 1535^2 + 9126^2 .

It is not a de Polignac number, because 85640101 - 2¹ = 85640099 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85640111) 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 15 ways as a sum of consecutive naturals, for example, 209185 + ... + 209593.

It is an arithmetic number, because the mean of its divisors is an integer number (5784075).

Almost surely, 2^85640101 is an apocalyptic number.

It is an amenable number.

85640101 is a deficient number, since it is larger than the sum of its proper divisors (6905099).

85640101 is a wasteful number, since it uses less digits than its factorization.

85640101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648.

The product of its (nonzero) digits is 960, while the sum is 25.

The square root of 85640101 is about 9254.1936979944. The cubic root of 85640101 is about 440.7839004449.

Adding to 85640101 its reverse (10104658), we get a palindrome (95744759).

The spelling of 85640101 in words is "eighty-five million, six hundred forty thousand, one hundred one".