171930 has 32 divisors (see below), whose sum is σ = 451008. Its totient is φ = 41600.

The previous prime is 171929. The next prime is 171937. The reversal of 171930 is 39171.

It is a junction number, because it is equal to n+sod(n) for n = 171897 and 171906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (171937) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70 + ... + 590.

It is an arithmetic number, because the mean of its divisors is an integer number (14094).

2¹⁷¹⁹³⁰ is an apocalyptic number.

171930 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 171930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225504).

171930 is an abundant number, since it is smaller than the sum of its proper divisors (279078).

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

171930 is a wasteful number, since it uses less digits than its factorization.

171930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542.

The product of its (nonzero) digits is 189, while the sum is 21.

The square root of 171930 is about 414.6444259845. The cubic root of 171930 is about 55.6054322453.

The spelling of 171930 in words is "one hundred seventy-one thousand, nine hundred thirty".