171828972 has 96 divisors (see below), whose sum is σ = 512547840. Its totient is φ = 48764160.

The previous prime is 171828961. The next prime is 171828997. The reversal of 171828972 is 279828171.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 125572 + ... + 126932.

It is an arithmetic number, because the mean of its divisors is an integer number (5339040).

Almost surely, 2^171828972 is an apocalyptic number.

171828972 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 171828972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256273920).

171828972 is an abundant number, since it is smaller than the sum of its proper divisors (340718868).

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

171828972 is a wasteful number, since it uses less digits than its factorization.

171828972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1548 (or 1540 counting only the distinct ones).

The product of its digits is 112896, while the sum is 45.

The square root of 171828972 is about 13108.3550455425. The cubic root of 171828972 is about 555.9453865237.

The spelling of 171828972 in words is "one hundred seventy-one million, eight hundred twenty-eight thousand, nine hundred seventy-two".