33020 has 24 divisors (see below), whose sum is σ = 75264. Its totient is φ = 12096.

The previous prime is 33013. The next prime is 33023. The reversal of 33020 is 2033.

33020 = T₄₀ + T₄₁ + ... + T₆₃.

It is a d-powerful number, because it can be written as 3² + 3⁵ + 0 + 2¹⁵ + 0 .

It is a plaindrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 32989 and 33007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 197 + ... + 323.

It is an arithmetic number, because the mean of its divisors is an integer number (3136).

2³³⁰²⁰ 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 33020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37632).

33020 is an abundant number, since it is smaller than the sum of its proper divisors (42244).

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

33020 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (33019) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (149).

33020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 8.

The square root of 33020 is about 181.7140610960. The cubic root of 33020 is about 32.0818218587.

Adding to 33020 its reverse (2033), we get a palindrome (35053).

The spelling of 33020 in words is "thirty-three thousand, twenty".