33021 has 8 divisors (see below), whose sum is σ = 48960. Its totient is φ = 21996.

The previous prime is 33013. The next prime is 33023. The reversal of 33021 is 12033.

It is a happy number.

33021 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 33021 - 2³ = 33013 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a d-powerful number, because it can be written as 3² + 3⁵ + 0 + 2¹⁵ + 1 .

33021 is a lucky number.

It is a plaindrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 32994 and 33012.

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 polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 585 + ... + 638.

It is an arithmetic number, because the mean of its divisors is an integer number (6120).

2³³⁰²¹ is an apocalyptic number.

It is an amenable number.

33021 is a deficient number, since it is larger than the sum of its proper divisors (15939).

33021 is a wasteful number, since it uses less digits than its factorization.

33021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1232 (or 1226 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 33021 is about 181.7168126509. The cubic root of 33021 is about 32.0821457179.

Adding to 33021 its reverse (12033), we get a palindrome (45054).

It can be divided in two parts, 330 and 21, that added together give a triangular number (351 = T₂₆).

The spelling of 33021 in words is "thirty-three thousand, twenty-one".