33826 has 8 divisors (see below), whose sum is σ = 54684. Its totient is φ = 15600.

The previous prime is 33811. The next prime is 33827. The reversal of 33826 is 62833.

It can be written as a sum of positive squares in 2 ways, for example, as 24025 + 9801 = 155^2 + 99^2 .

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

It is a super-2 number, since 2×33826² = 2288396552, which contains 22 as substring.

It is a fibodiv number, since the Fibonacci-like sequence with seeds 338 and 26 contains 33826 itself.

It is a d-powerful number, because it can be written as 3⁴ + 3⁶ + 8⁵ + 2⁵ + 6³ .

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 33797 and 33806.

It is not an unprimeable number, because it can be changed into a prime (33827) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 625 + ... + 676.

2³³⁸²⁶ is an apocalyptic number.

33826 is a deficient number, since it is larger than the sum of its proper divisors (20858).

33826 is a wasteful number, since it uses less digits than its factorization.

33826 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1316.

The product of its digits is 864, while the sum is 22.

The square root of 33826 is about 183.9184601936. The cubic root of 33826 is about 32.3407595040.

The spelling of 33826 in words is "thirty-three thousand, eight hundred twenty-six".