13826 has 8 divisors (see below), whose sum is σ = 21504. Its totient is φ = 6660.

The previous prime is 13807. The next prime is 13829. The reversal of 13826 is 62831.

13826 = T₁₃ + T₁₄ + ... + T₄₃.

13826 is nontrivially palindromic in base 3.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a Curzon number.

It is a nialpdrome in base 7.

It is a junction number, because it is equal to n+sod(n) for n = 13798 and 13807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13829) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 50 + ... + 173.

It is an arithmetic number, because the mean of its divisors is an integer number (2688).

13826 is a Friedman number, since it can be written as (16+8)^3+2, using all its digits and the basic arithmetic operations.

2¹³⁸²⁶ is an apocalyptic number.

13826 is a deficient number, since it is larger than the sum of its proper divisors (7678).

13826 is a wasteful number, since it uses less digits than its factorization.

13826 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256.

The product of its digits is 288, while the sum is 20.

The square root of 13826 is about 117.5840125187. The cubic root of 13826 is about 24.0011573516.

The spelling of 13826 in words is "thirteen thousand, eight hundred twenty-six".