171952 has 20 divisors (see below), whose sum is σ = 363816. Its totient is φ = 78080.

The previous prime is 171947. The next prime is 172001. The reversal of 171952 is 259171.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 313 + ... + 664.

2¹⁷¹⁹⁵² is an apocalyptic number.

It is an amenable number.

171952 is an abundant number, since it is smaller than the sum of its proper divisors (191864).

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

171952 is a wasteful number, since it uses less digits than its factorization.

171952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 996 (or 990 counting only the distinct ones).

The product of its digits is 630, while the sum is 25.

The square root of 171952 is about 414.6709538899. The cubic root of 171952 is about 55.6078038837.

It can be divided in two parts, 1719 and 52, that added together give a palindrome (1771).

The spelling of 171952 in words is "one hundred seventy-one thousand, nine hundred fifty-two".