85071987 has 144 divisors (see below), whose sum is σ = 179262720. Its totient is φ = 38102400.

The previous prime is 85071983. The next prime is 85072033. The reversal of 85071987 is 78917058.

It is not a de Polignac number, because 85071987 - 2² = 85071983 is a prime.

It is not an unprimeable number, because it can be changed into a prime (85071983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1198162 + ... + 1198232.

It is an arithmetic number, because the mean of its divisors is an integer number (1244880).

Almost surely, 2^85071987 is an apocalyptic number.

85071987 is an abundant number, since it is smaller than the sum of its proper divisors (94190733).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

85071987 is a wasteful number, since it uses less digits than its factorization.

85071987 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 45.

The square root of 85071987 is about 9223.4476742702. The cubic root of 85071987 is about 439.8070555558.

The spelling of 85071987 in words is "eighty-five million, seventy-one thousand, nine hundred eighty-seven".