85601009 has 16 divisors (see below), whose sum is σ = 97652352. Its totient is φ = 74435328.

The previous prime is 85600997. The next prime is 85601029. The reversal of 85601009 is 90010658.

It is a cyclic number.

It is not a de Polignac number, because 85601009 - 2⁴ = 85600993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (85601029) 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, 17897 + ... + 22169.

It is an arithmetic number, because the mean of its divisors is an integer number (6103272).

Almost surely, 2^85601009 is an apocalyptic number.

It is an amenable number.

85601009 is a deficient number, since it is larger than the sum of its proper divisors (12051343).

85601009 is a wasteful number, since it uses less digits than its factorization.

85601009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4376.

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

The square root of 85601009 is about 9252.0813334082. The cubic root of 85601009 is about 440.7168222634.

The spelling of 85601009 in words is "eighty-five million, six hundred one thousand, nine".