43164 has 36 divisors (see below), whose sum is σ = 120120. Its totient is φ = 12960.

The previous prime is 43159. The next prime is 43177. The reversal of 43164 is 46134.

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

It is a congruent number.

It is an unprimeable 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 11 ways as a sum of consecutive naturals, for example, 342 + ... + 450.

2⁴³¹⁶⁴ is an apocalyptic number.

43164 is a gapful number since it is divisible by the number (44) 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 43164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60060).

43164 is an abundant number, since it is smaller than the sum of its proper divisors (76956).

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

43164 is a wasteful number, since it uses less digits than its factorization.

43164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 125 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 43164 is about 207.7594763182. The cubic root of 43164 is about 35.0784634241.

Adding to 43164 its reverse (46134), we get a palindrome (89298).

The spelling of 43164 in words is "forty-three thousand, one hundred sixty-four".