33520 has 20 divisors (see below), whose sum is σ = 78120. Its totient is φ = 13376.

The previous prime is 33503. The next prime is 33521. The reversal of 33520 is 2533.

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×33520² = 2247180800, which contains 22 as substring.

It is a plaindrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 33520.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33521) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 130 + ... + 289.

It is an arithmetic number, because the mean of its divisors is an integer number (3906).

2³³⁵²⁰ is an apocalyptic number.

It is an amenable number.

33520 is an abundant number, since it is smaller than the sum of its proper divisors (44600).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39060).

33520 is a wasteful number, since it uses less digits than its factorization.

33520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 13.

The square root of 33520 is about 183.0846798615. The cubic root of 33520 is about 32.2429425897.

Adding to 33520 its sum of digits (13), we get a palindrome (33533).

The spelling of 33520 in words is "thirty-three thousand, five hundred twenty".