3164 has 12 divisors (see below), whose sum is σ = 6384. Its totient is φ = 1344.

The previous prime is 3163. The next prime is 3167. The reversal of 3164 is 4613.

3164 is nontrivially palindromic in base 15 and base 16.

3164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

3164 is an admirable number.

It is a hoax number, since the sum of its digits (14) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (14).

3164 is an undulating number in base 15 and base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3163) 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, 29 + ... + 84.

It is an arithmetic number, because the mean of its divisors is an integer number (532).

2³¹⁶⁴ is an apocalyptic number.

It is an amenable number.

3164 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.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3192).

3164 is a wasteful number, since it uses less digits than its factorization.

It is an anagram of its base 8 representation: 3164 = (6134)₈.

3164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 122 counting only the distinct ones).

The product of its digits is 72, while the sum is 14.

The square root of 3164 is about 56.2494444417. The cubic root of 3164 is about 14.6806569903.

Adding to 3164 its reverse (4613), we get a palindrome (7777).

The spelling of 3164 in words is "three thousand, one hundred sixty-four".