171312 has 40 divisors (see below), whose sum is σ = 458304. Its totient is φ = 55104.

The previous prime is 171299. The next prime is 171317. The reversal of 171312 is 213171.

It is a junction number, because it is equal to n+sod(n) for n = 171291 and 171300.

It is not an unprimeable number, because it can be changed into a prime (171317) by changing a digit.

171312 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2023 + ... + 2105.

2¹⁷¹³¹² is an apocalyptic number.

171312 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 171312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229152).

171312 is an abundant number, since it is smaller than the sum of its proper divisors (286992).

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

171312 is a wasteful number, since it uses less digits than its factorization.

171312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 131 counting only the distinct ones).

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

The square root of 171312 is about 413.8985382917. The cubic root of 171312 is about 55.5387279405.

Adding to 171312 its reverse (213171), we get a palindrome (384483).

The spelling of 171312 in words is "one hundred seventy-one thousand, three hundred twelve", and thus it is an iban number.