643164 has 12 divisors (see below), whose sum is σ = 1500744. Its totient is φ = 214384.

The previous prime is 643129. The next prime is 643183. The reversal of 643164 is 461346.

It is a tau number, because it is divible by the number of its divisors (12).

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

It is an Ulam number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 643164.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 26787 + ... + 26810.

It is an arithmetic number, because the mean of its divisors is an integer number (125062).

2⁶⁴³¹⁶⁴ is an apocalyptic number.

It is an amenable number.

643164 is an abundant number, since it is smaller than the sum of its proper divisors (857580).

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

643164 is a wasteful number, since it uses less digits than its factorization.

643164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53604 (or 53602 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 643164 is about 801.9750619564. The cubic root of 643164 is about 86.3191673694.

The spelling of 643164 in words is "six hundred forty-three thousand, one hundred sixty-four".