85309587 has 48 divisors (see below), whose sum is σ = 143646048. Its totient is φ = 48215040.

The previous prime is 85309579. The next prime is 85309591. The reversal of 85309587 is 78590358.

It is not a de Polignac number, because 85309587 - 2³ = 85309579 is a prime.

It is a super-2 number, since 2×85309587² = 14555451268221138, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (85309547) 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 47 ways as a sum of consecutive naturals, for example, 291013 + ... + 291305.

It is an arithmetic number, because the mean of its divisors is an integer number (2992626).

Almost surely, 2^85309587 is an apocalyptic number.

85309587 is a deficient number, since it is larger than the sum of its proper divisors (58336461).

85309587 is a wasteful number, since it uses less digits than its factorization.

85309587 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 85309587 is about 9236.3189096090. The cubic root of 85309587 is about 440.2161248842.

The spelling of 85309587 in words is "eighty-five million, three hundred nine thousand, five hundred eighty-seven".