12826 has 12 divisors (see below), whose sum is σ = 21546. Its totient is φ = 5720.

The previous prime is 12823. The next prime is 12829. The reversal of 12826 is 62821.

12826 = 29² + 30² + ... + 39².

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12823) and next prime (12829).

It can be written as a sum of positive squares in only one way, i.e., 9801 + 3025 = 99^2 + 55^2 .

It is a nialpdrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (12821) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 216 + ... + 268.

2¹²⁸²⁶ is an apocalyptic number.

12826 is a deficient number, since it is larger than the sum of its proper divisors (8720).

12826 is a wasteful number, since it uses less digits than its factorization.

12826 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 66 counting only the distinct ones).

The product of its digits is 192, while the sum is 19.

The square root of 12826 is about 113.2519315509. The cubic root of 12826 is about 23.4079696233.

It can be divided in two parts, 12 and 826, that added together give a palindrome (838).

The spelling of 12826 in words is "twelve thousand, eight hundred twenty-six".