33320 has 48 divisors (see below), whose sum is σ = 92340. Its totient is φ = 10752.

The previous prime is 33317. The next prime is 33329. The reversal of 33320 is 2333.

33320 = 36² + 37² + ... + 52².

It is a happy number.

33320 is nontrivially palindromic in base 13 and base 16.

It can be written as a sum of positive squares in 2 ways, for example, as 33124 + 196 = 182^2 + 14^2 .

It is a super-2 number, since 2×33320² = 2220444800, which contains 22 as substring.

It is a nialpdrome in base 10 and base 14.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 33320.

It is not an unprimeable number, because it can be changed into a prime (33329) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1952 + ... + 1968.

2³³³²⁰ 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 33320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46170).

33320 is an abundant number, since it is smaller than the sum of its proper divisors (59020).

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

33320 is a wasteful number, since it uses less digits than its factorization.

33320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 11.

The square root of 33320 is about 182.5376673457. The cubic root of 33320 is about 32.1786878507.

Adding to 33320 its reverse (2333), we get a palindrome (35653).

It can be divided in two parts, 333 and 20, that added together give a palindrome (353).

The spelling of 33320 in words is "thirty-three thousand, three hundred twenty".