171132 has 24 divisors (see below), whose sum is σ = 430416. Its totient is φ = 52608.

The previous prime is 171131. The next prime is 171161. The reversal of 171132 is 231171.

It is a super-2 number, since 2×171132² = 58572322848, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (171131) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 393 + ... + 704.

It is an arithmetic number, because the mean of its divisors is an integer number (17934).

2¹⁷¹¹³² is an apocalyptic number.

171132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

171132 is an abundant number, since it is smaller than the sum of its proper divisors (259284).

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

171132 is a wasteful number, since it uses less digits than its factorization.

171132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1117 (or 1115 counting only the distinct ones).

The product of its digits is 42, while the sum is 15.

The square root of 171132 is about 413.6810365487. The cubic root of 171132 is about 55.5192693418.

It can be divided in two parts, 171 and 132, that added together give a palindrome (303).

The spelling of 171132 in words is "one hundred seventy-one thousand, one hundred thirty-two".