171216 has 60 divisors (see below), whose sum is σ = 507780. Its totient is φ = 53760.

The previous prime is 171203. The next prime is 171233. The reversal of 171216 is 612171.

171216 is nontrivially palindromic in base 11.

It can be written as a sum of positive squares in 2 ways, for example, as 41616 + 129600 = 204^2 + 360^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

Its product of digits (84) is a multiple of the sum of its prime factors (84).

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

171216 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 11 ways as a sum of consecutive naturals, for example, 4156 + ... + 4196.

It is an arithmetic number, because the mean of its divisors is an integer number (8463).

2¹⁷¹²¹⁶ is an apocalyptic number.

171216 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 171216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253890).

171216 is an abundant number, since it is smaller than the sum of its proper divisors (336564).

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

171216 is a wasteful number, since it uses less digits than its factorization.

171216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 75 counting only the distinct ones).

The product of its digits is 84, while the sum is 18.

The square root of 171216 is about 413.7825515896. The cubic root of 171216 is about 55.5283517183.

Adding to 171216 its reverse (612171), we get a palindrome (783387).

It can be divided in two parts, 1712 and 16, that added together give a cube (1728 = 12³).

The spelling of 171216 in words is "one hundred seventy-one thousand, two hundred sixteen".