171005172 has 48 divisors (see below), whose sum is σ = 436145472. Its totient is φ = 51828480.

The previous prime is 171005171. The next prime is 171005203. The reversal of 171005172 is 271500171.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (171005171) 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 15 ways as a sum of consecutive naturals, for example, 2272 + ... + 18632.

It is an arithmetic number, because the mean of its divisors is an integer number (9086364).

Almost surely, 2^171005172 is an apocalyptic number.

171005172 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 171005172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218072736).

171005172 is an abundant number, since it is smaller than the sum of its proper divisors (265140300).

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

171005172 is a wasteful number, since it uses less digits than its factorization.

171005172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16448 (or 16446 counting only the distinct ones).

The product of its (nonzero) digits is 490, while the sum is 24.

The square root of 171005172 is about 13076.8945854893. The cubic root of 171005172 is about 555.0555061765.

The spelling of 171005172 in words is "one hundred seventy-one million, five thousand, one hundred seventy-two".