171164 has 12 divisors (see below), whose sum is σ = 342384. Its totient is φ = 73344.

The previous prime is 171163. The next prime is 171167. The reversal of 171164 is 461171.

171164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

171164 is an admirable number.

It is a super-2 number, since 2×171164² = 58594229792, which contains 22 as substring.

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (171161) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3029 + ... + 3084.

It is an arithmetic number, because the mean of its divisors is an integer number (28532).

2¹⁷¹¹⁶⁴ is an apocalyptic number.

171164 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

171164 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.

171164 is a wasteful number, since it uses less digits than its factorization.

171164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6124 (or 6122 counting only the distinct ones).

The product of its digits is 168, while the sum is 20.

The square root of 171164 is about 413.7197118823. The cubic root of 171164 is about 55.5227296451.

The spelling of 171164 in words is "one hundred seventy-one thousand, one hundred sixty-four".