85950171 has 24 divisors (see below), whose sum is σ = 129492480. Its totient is φ = 54867456.

The previous prime is 85950157. The next prime is 85950187. The reversal of 85950171 is 17105958.

85950171 is a `hidden beast` number, since 85 + 9 + 501 + 71 = 666.

It is not a de Polignac number, because 85950171 - 2⁷ = 85950043 is a prime.

It is not an unprimeable number, because it can be changed into a prime (85950971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31851 + ... + 34443.

It is an arithmetic number, because the mean of its divisors is an integer number (5395520).

Almost surely, 2^85950171 is an apocalyptic number.

85950171 is a deficient number, since it is larger than the sum of its proper divisors (43542309).

85950171 is a wasteful number, since it uses less digits than its factorization.

85950171 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2755 (or 2752 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 36.

The square root of 85950171 is about 9270.9315065963. The cubic root of 85950171 is about 441.3152295984.

The spelling of 85950171 in words is "eighty-five million, nine hundred fifty thousand, one hundred seventy-one".