64164 has 12 divisors (see below), whose sum is σ = 149744. Its totient is φ = 21384.

The previous prime is 64157. The next prime is 64171. The reversal of 64164 is 46146.

It is an interprime number because it is at equal distance from previous prime (64157) and next prime (64171).

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 a nialpdrome in base 4 and base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 64164.

It is an unprimeable number.

64164 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2662 + ... + 2685.

2⁶⁴¹⁶⁴ is an apocalyptic number.

It is an amenable number.

64164 is an abundant number, since it is smaller than the sum of its proper divisors (85580).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74872).

64164 is a wasteful number, since it uses less digits than its factorization.

64164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5354 (or 5352 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

The square root of 64164 is about 253.3061388913. The cubic root of 64164 is about 40.0341375241.

The spelling of 64164 in words is "sixty-four thousand, one hundred sixty-four".