12164 has 6 divisors (see below), whose sum is σ = 21294. Its totient is φ = 6080.

The previous prime is 12163. The next prime is 12197. The reversal of 12164 is 46121.

12164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 12100 + 64 = 110^2 + 8^2 .

It is not an unprimeable number, because it can be changed into a prime (12161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1517 + ... + 1524.

It is an arithmetic number, because the mean of its divisors is an integer number (3549).

2¹²¹⁶⁴ is an apocalyptic number.

It is an amenable number.

12164 is a deficient number, since it is larger than the sum of its proper divisors (9130).

12164 is a wasteful number, since it uses less digits than its factorization.

12164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3045 (or 3043 counting only the distinct ones).

The product of its digits is 48, while the sum is 14.

The square root of 12164 is about 110.2905254317. The cubic root of 12164 is about 22.9981094854.

Adding to 12164 its reverse (46121), we get a palindrome (58285).

It can be divided in two parts, 121 and 64, that multiplied together give a square (7744 = 88²).

The spelling of 12164 in words is "twelve thousand, one hundred sixty-four".