333320 has 32 divisors (see below), whose sum is σ = 808920. Its totient is φ = 122880.

The previous prime is 333299. The next prime is 333323. The reversal of 333320 is 23333.

It can be written as a sum of positive squares in 4 ways, for example, as 276676 + 56644 = 526^2 + 238^2 .

It is a super-2 number, since 2×333320² = 222204444800, which contains 22 as substring.

It is a nialpdrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 333295 and 333304.

It is not an unprimeable number, because it can be changed into a prime (333323) 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, 200 + ... + 840.

2³³³³²⁰ 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 333320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404460).

333320 is an abundant number, since it is smaller than the sum of its proper divisors (475600).

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

333320 is a wasteful number, since it uses less digits than its factorization.

333320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 665 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 14.

The square root of 333320 is about 577.3387220688. The cubic root of 333320 is about 69.3352029410.

Adding to 333320 its reverse (23333), we get a palindrome (356653).

The spelling of 333320 in words is "three hundred thirty-three thousand, three hundred twenty".