171140 has 24 divisors (see below), whose sum is σ = 369600. Its totient is φ = 66528.

The previous prime is 171131. The next prime is 171161. The reversal of 171140 is 41171.

171140 = T₁₅ + T₁₆ + ... + T₁₀₀.

It is a happy number.

It is an unprimeable number.

171140 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 7 ways as a sum of consecutive naturals, for example, 761 + ... + 959.

It is an arithmetic number, because the mean of its divisors is an integer number (15400).

2¹⁷¹¹⁴⁰ is an apocalyptic number.

171140 is a gapful number since it is divisible by the number (10) 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 171140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184800).

171140 is an abundant number, since it is smaller than the sum of its proper divisors (198460).

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

171140 is a wasteful number, since it uses less digits than its factorization.

171140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 14.

The square root of 171140 is about 413.6907057211. The cubic root of 171140 is about 55.5201344581.

The spelling of 171140 in words is "one hundred seventy-one thousand, one hundred forty", and thus it is an iban number.