171953985 has 48 divisors (see below), whose sum is σ = 328746816. Its totient is φ = 76470912.

The previous prime is 171953953. The next prime is 171954001. The reversal of 171953985 is 589359171.

It is not a de Polignac number, because 171953985 - 2⁵ = 171953953 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24034 + ... + 30356.

It is an arithmetic number, because the mean of its divisors is an integer number (6848892).

Almost surely, 2^171953985 is an apocalyptic number.

171953985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

171953985 is a deficient number, since it is larger than the sum of its proper divisors (156792831).

171953985 is a wasteful number, since it uses less digits than its factorization.

171953985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6382 (or 6375 counting only the distinct ones).

The product of its digits is 340200, while the sum is 48.

The square root of 171953985 is about 13113.1226258279. The cubic root of 171953985 is about 556.0801786016.

The spelling of 171953985 in words is "one hundred seventy-one million, nine hundred fifty-three thousand, nine hundred eighty-five".