171982032 has 80 divisors (see below), whose sum is σ = 459881280. Its totient is φ = 55351296.

The previous prime is 171982021. The next prime is 171982033. The reversal of 171982032 is 230289171.

It is a junction number, because it is equal to n+sod(n) for n = 171981984 and 171982002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (171982033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 169944 + ... + 170952.

It is an arithmetic number, because the mean of its divisors is an integer number (5748516).

Almost surely, 2^171982032 is an apocalyptic number.

171982032 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 171982032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229940640).

171982032 is an abundant number, since it is smaller than the sum of its proper divisors (287899248).

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

171982032 is a wasteful number, since it uses less digits than its factorization.

171982032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1140 (or 1134 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 171982032 is about 13114.1920071349. The cubic root of 171982032 is about 556.1104105905.

The spelling of 171982032 in words is "one hundred seventy-one million, nine hundred eighty-two thousand, thirty-two".