164176 has 20 divisors (see below), whose sum is σ = 329344. Its totient is φ = 79200.

The previous prime is 164173. The next prime is 164183. The reversal of 164176 is 671461.

It is a happy number.

164176 is an admirable number.

It is a zygodrome in base 4.

It is a self number, because there is not a number n which added to its sum of digits gives 164176.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164173) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 331 + ... + 661.

2¹⁶⁴¹⁷⁶ is an apocalyptic number.

164176 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

164176 is the 331-st pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164672).

164176 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.

164176 is a wasteful number, since it uses less digits than its factorization.

164176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 364 counting only the distinct ones).

The product of its digits is 1008, while the sum is 25.

The square root of 164176 is about 405.1863768687. The cubic root of 164176 is about 54.7566104763.

The spelling of 164176 in words is "one hundred sixty-four thousand, one hundred seventy-six".