33022 has 16 divisors (see below), whose sum is σ = 57600. Its totient is φ = 14040.

The previous prime is 33013. The next prime is 33023. The reversal of 33022 is 22033.

33022 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a d-powerful number, because it can be written as 3 + 3⁵ + 0 + 2³ + 2¹⁵ .

It is a congruent number.

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

33022 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 7 ways as a sum of consecutive naturals, for example, 379 + ... + 457.

It is an arithmetic number, because the mean of its divisors is an integer number (3600).

2³³⁰²² is an apocalyptic number.

33022 is a deficient number, since it is larger than the sum of its proper divisors (24578).

33022 is a wasteful number, since it uses less digits than its factorization.

33022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111.

The product of its (nonzero) digits is 36, while the sum is 10.

The square root of 33022 is about 181.7195641641. The cubic root of 33022 is about 32.0824695706.

Adding to 33022 its reverse (22033), we get a palindrome (55055).

It can be divided in two parts, 330 and 22, that multiplied together give a triangular number (7260 = T₁₂₀).

The spelling of 33022 in words is "thirty-three thousand, twenty-two".