171116985 has 64 divisors (see below), whose sum is σ = 320060160. Its totient is φ = 77291520.

The previous prime is 171116977. The next prime is 171116999. The reversal of 171116985 is 589611171.

It is not a de Polignac number, because 171116985 - 2³ = 171116977 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 135286 + ... + 136544.

It is an arithmetic number, because the mean of its divisors is an integer number (5000940).

Almost surely, 2^171116985 is an apocalyptic number.

171116985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

171116985 is a deficient number, since it is larger than the sum of its proper divisors (148943175).

171116985 is a wasteful number, since it uses less digits than its factorization.

171116985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1338.

The product of its digits is 15120, while the sum is 39.

The square root of 171116985 is about 13081.1690991287. The cubic root of 171116985 is about 555.1764555389.

The spelling of 171116985 in words is "one hundred seventy-one million, one hundred sixteen thousand, nine hundred eighty-five".