12813164 has 24 divisors (see below), whose sum is σ = 27598368. Its totient is φ = 5068800.

The previous prime is 12813161. The next prime is 12813167. The reversal of 12813164 is 46131821.

It is an interprime number because it is at equal distance from previous prime (12813161) and next prime (12813167).

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (12813161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17237 + ... + 17964.

It is an arithmetic number, because the mean of its divisors is an integer number (1149932).

Almost surely, 2^12813164 is an apocalyptic number.

12813164 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12813164 is an abundant number, since it is smaller than the sum of its proper divisors (14785204).

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

12813164 is a wasteful number, since it uses less digits than its factorization.

12813164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35225 (or 35223 counting only the distinct ones).

The product of its digits is 1152, while the sum is 26.

The square root of 12813164 is about 3579.5480161607. The cubic root of 12813164 is about 234.0015827687.

Adding to 12813164 its reverse (46131821), we get a palindrome (58944985).

The spelling of 12813164 in words is "twelve million, eight hundred thirteen thousand, one hundred sixty-four".