33822 has 12 divisors (see below), whose sum is σ = 73320. Its totient is φ = 11268.

The previous prime is 33811. The next prime is 33827. The reversal of 33822 is 22833.

It is a super-2 number, since 2×33822² = 2287855368, which contains 22 as substring.

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: 1879 = 33822 / (3 + 3 + 8 + 2 + 2).

It is a d-powerful number, because it can be written as 3 + 3³ + 8³ + 2⁹ + 2¹⁵ .

It is a plaindrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 33795 and 33804.

It is a congruent number.

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

33822 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 5 ways as a sum of consecutive naturals, for example, 922 + ... + 957.

It is an arithmetic number, because the mean of its divisors is an integer number (6110).

2³³⁸²² is an apocalyptic number.

33822 is an abundant number, since it is smaller than the sum of its proper divisors (39498).

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

33822 is a wasteful number, since it uses less digits than its factorization.

33822 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1887 (or 1884 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 33822 is about 183.9075854879. The cubic root of 33822 is about 32.3394846647.

The spelling of 33822 in words is "thirty-three thousand, eight hundred twenty-two".