171248 has 40 divisors (see below), whose sum is σ = 416640. Its totient is φ = 66240.

The previous prime is 171233. The next prime is 171251. The reversal of 171248 is 842171.

171248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1163 + ... + 1301.

It is an arithmetic number, because the mean of its divisors is an integer number (10416).

2¹⁷¹²⁴⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 171248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208320).

171248 is an abundant number, since it is smaller than the sum of its proper divisors (245392).

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

171248 is a wasteful number, since it uses less digits than its factorization.

171248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 159 counting only the distinct ones).

The product of its digits is 448, while the sum is 23.

The square root of 171248 is about 413.8212174357. The cubic root of 171248 is about 55.5318108899.

The spelling of 171248 in words is "one hundred seventy-one thousand, two hundred forty-eight".