2826 has 12 divisors (see below), whose sum is σ = 6162. Its totient is φ = 936.

The previous prime is 2819. The next prime is 2833. The reversal of 2826 is 6282.

2826 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2819) and next prime (2833).

It can be written as a sum of positive squares in only one way, i.e., 2601 + 225 = 51^2 + 15^2 .

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 157 = 2826 / (2 + 8 + 2 + 6).

2826 is strictly pandigital in base 5.

It is a Curzon number.

It is a plaindrome in base 7.

It is a nialpdrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 2799 and 2808.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 2826.

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 5 ways as a sum of consecutive naturals, for example, 61 + ... + 96.

2²⁸²⁶ is an apocalyptic number.

2826 is an abundant number, since it is smaller than the sum of its proper divisors (3336).

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

2826 is a wasteful number, since it uses less digits than its factorization.

2826 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 162 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 2826 is about 53.1601354400. The cubic root of 2826 is about 14.1380892582.

It can be divided in two parts, 2 and 826, that added together give a palindrome (828).

The spelling of 2826 in words is "two thousand, eight hundred twenty-six".