203826 has 32 divisors (see below), whose sum is σ = 488448. Its totient is φ = 55440.

The previous prime is 203821. The next prime is 203843. The reversal of 203826 is 628302.

It is a Smith number, since the sum of its digits (21) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (203821) by changing a digit.

203826 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 861 + ... + 1071.

It is an arithmetic number, because the mean of its divisors is an integer number (15264).

2²⁰³⁸²⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 203826, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244224).

203826 is an abundant number, since it is smaller than the sum of its proper divisors (284622).

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

203826 is a wasteful number, since it uses less digits than its factorization.

203826 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246.

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 203826 is about 451.4709292967. The cubic root of 203826 is about 58.8509115263.

Adding to 203826 its product of nonzero digits (576), we get a palindrome (204402).

The spelling of 203826 in words is "two hundred three thousand, eight hundred twenty-six".