12810 has 32 divisors (see below), whose sum is σ = 35712. Its totient is φ = 2880.

The previous prime is 12809. The next prime is 12821. The reversal of 12810 is 1821.

It is a happy number.

12810 is nontrivially palindromic in base 13.

It is a super-2 number, since 2×12810² = 328192200, which contains 22 as substring.

It is an Ulam number.

12810 is an undulating number in base 11.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 180 + ... + 240.

It is an arithmetic number, because the mean of its divisors is an integer number (1116).

2¹²⁸¹⁰ is an apocalyptic number.

12810 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17856).

12810 is an abundant number, since it is smaller than the sum of its proper divisors (22902).

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

12810 is a wasteful number, since it uses less digits than its factorization.

12810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78.

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 12810 is about 113.1812705354. The cubic root of 12810 is about 23.3982320236.

The spelling of 12810 in words is "twelve thousand, eight hundred ten".