13164 has 12 divisors (see below), whose sum is σ = 30744. Its totient is φ = 4384.

The previous prime is 13163. The next prime is 13171. The reversal of 13164 is 46131.

13164 = 37² + 38² + ... + 44².

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 plaindrome in base 16.

It is a nialpdrome in base 11 and base 12.

It is a zygodrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (13163) 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, 537 + ... + 560.

It is an arithmetic number, because the mean of its divisors is an integer number (2562).

2¹³¹⁶⁴ is an apocalyptic number.

It is an amenable number.

13164 is an abundant number, since it is smaller than the sum of its proper divisors (17580).

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 (15372).

13164 is a wasteful number, since it uses less digits than its factorization.

13164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1104 (or 1102 counting only the distinct ones).

The product of its digits is 72, while the sum is 15.

The square root of 13164 is about 114.7344760741. The cubic root of 13164 is about 23.6118106162.

Adding to 13164 its reverse (46131), we get a palindrome (59295).

The spelling of 13164 in words is "thirteen thousand, one hundred sixty-four".