171296 has 24 divisors (see below), whose sum is σ = 347004. Its totient is φ = 83200.

The previous prime is 171293. The next prime is 171299. The reversal of 171296 is 692171.

It is an interprime number because it is at equal distance from previous prime (171293) and next prime (171299).

It can be written as a sum of positive squares in 2 ways, for example, as 144400 + 26896 = 380^2 + 164^2 .

It is not an unprimeable number, because it can be changed into a prime (171293) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1646 + ... + 1746.

2¹⁷¹²⁹⁶ is an apocalyptic number.

171296 is a gapful number since it is divisible by the number (16) 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 171296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173502).

171296 is an abundant number, since it is smaller than the sum of its proper divisors (175708).

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

171296 is a wasteful number, since it uses less digits than its factorization.

171296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 156 counting only the distinct ones).

The product of its digits is 756, while the sum is 26.

The square root of 171296 is about 413.8792094319. The cubic root of 171296 is about 55.5369988394.

The spelling of 171296 in words is "one hundred seventy-one thousand, two hundred ninety-six".