7164 has 18 divisors (see below), whose sum is σ = 18200. Its totient is φ = 2376.

The previous prime is 7159. The next prime is 7177. The reversal of 7164 is 4617.

Added to its reverse (4617) it gives a triangular number (11781 = T₁₅₃).

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 6.

It is a congruent number.

It is an unprimeable number.

7164 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 5 ways as a sum of consecutive naturals, for example, 64 + ... + 135.

2⁷¹⁶⁴ is an apocalyptic number.

It is an amenable number.

7164 is an abundant number, since it is smaller than the sum of its proper divisors (11036).

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

7164 is a wasteful number, since it uses less digits than its factorization.

7164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 204 counting only the distinct ones).

The product of its digits is 168, while the sum is 18.

The square root of 7164 is about 84.6404158780. The cubic root of 7164 is about 19.2775509248.

Subtracting from 7164 its product of digits (168), we obtain a palindrome (6996).

Adding to 7164 its reverse (4617), we get a triangular number (11781 = T₁₅₃).

It can be divided in two parts, 7 and 164, that added together give a palindrome (171).

The spelling of 7164 in words is "seven thousand, one hundred sixty-four".