171252 has 36 divisors (see below), whose sum is σ = 445536. Its totient is φ = 55440.

The previous prime is 171251. The next prime is 171253. The reversal of 171252 is 252171.

It is an interprime number because it is at equal distance from previous prime (171251) and next prime (171253).

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (171251) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2377 + ... + 2447.

It is an arithmetic number, because the mean of its divisors is an integer number (12376).

2¹⁷¹²⁵² is an apocalyptic number.

171252 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 171252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222768).

171252 is an abundant number, since it is smaller than the sum of its proper divisors (274284).

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

171252 is a wasteful number, since it uses less digits than its factorization.

171252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 143 counting only the distinct ones).

The product of its digits is 140, while the sum is 18.

The square root of 171252 is about 413.8260504125. The cubic root of 171252 is about 55.5322432561.

It can be divided in two parts, 1712 and 52, that added together give a square (1764 = 42²).

The spelling of 171252 in words is "one hundred seventy-one thousand, two hundred fifty-two".