85638241 has 16 divisors (see below), whose sum is σ = 94913280. Its totient is φ = 76769280.

The previous prime is 85638233. The next prime is 85638251. The reversal of 85638241 is 14283658.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 85638241 - 2³ = 85638233 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 85638241.

It is not an unprimeable number, because it can be changed into a prime (85638211) 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, 133281 + ... + 133921.

It is an arithmetic number, because the mean of its divisors is an integer number (5932080).

Almost surely, 2^85638241 is an apocalyptic number.

It is an amenable number.

85638241 is a deficient number, since it is larger than the sum of its proper divisors (9275039).

85638241 is a wasteful number, since it uses less digits than its factorization.

85638241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 936.

The product of its digits is 46080, while the sum is 37.

The square root of 85638241 is about 9254.0932024699. The cubic root of 85638241 is about 440.7807093231.

The spelling of 85638241 in words is "eighty-five million, six hundred thirty-eight thousand, two hundred forty-one".