33820 has 24 divisors (see below), whose sum is σ = 75600. Its totient is φ = 12672.

The previous prime is 33811. The next prime is 33827. The reversal of 33820 is 2833.

33820 = T₆₉ + T₇₀ + ... + T₈₀.

It is a happy number.

33820 is an esthetic number in base 11, because in such base its adjacent digits differ by 1.

It is a super-2 number, since 2×33820² = 2287584800, which contains 22 as substring.

It is a plaindrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 33794 and 33803.

It is a congruent number.

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

33820 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 7 ways as a sum of consecutive naturals, for example, 336 + ... + 424.

It is an arithmetic number, because the mean of its divisors is an integer number (3150).

2³³⁸²⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37800).

33820 is an abundant number, since it is smaller than the sum of its proper divisors (41780).

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

33820 is a wasteful number, since it uses less digits than its factorization.

33820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 33820 is about 183.9021478939. The cubic root of 33820 is about 32.3388472074.

The spelling of 33820 in words is "thirty-three thousand, eight hundred twenty".