171171 has 48 divisors (see below), whose sum is σ = 349440. Its totient is φ = 77760.

The previous prime is 171169. The next prime is 171179.

171171 = 104² + 105² + ... + 117².

171171 is nontrivially palindromic in base 10.

171171 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 171171 - 2¹ = 171169 is a prime.

It is a super-2 number, since 2×171171² = 58599022482, which contains 22 as substring.

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

171171 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (171179) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9000 + ... + 9018.

It is an arithmetic number, because the mean of its divisors is an integer number (7280).

2¹⁷¹¹⁷¹ is an apocalyptic number.

171171 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

171171 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

171171 is a wasteful number, since it uses less digits than its factorization.

171171 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 53 counting only the distinct ones).

The product of its digits is 49, while the sum is 18.

The square root of 171171 is about 413.7281716296. The cubic root of 171171 is about 55.5234865290.

The spelling of 171171 in words is "one hundred seventy-one thousand, one hundred seventy-one", and thus it is an iban number.