33330 has 32 divisors (see below), whose sum is σ = 88128. Its totient is φ = 8000.

The previous prime is 33329. The next prime is 33331. The reversal of 33330 is 3333.

It is an interprime number because it is at equal distance from previous prime (33329) and next prime (33331).

It is a super-2 number, since 2×33330² = 2221777800, which contains 22 as substring.

It is a plaindrome in base 13.

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (33331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 280 + ... + 380.

It is an arithmetic number, because the mean of its divisors is an integer number (2754).

2³³³³⁰ is an apocalyptic number.

33330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 33330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44064).

33330 is an abundant number, since it is smaller than the sum of its proper divisors (54798).

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

33330 is a wasteful number, since it uses less digits than its factorization.

33330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122.

The product of its (nonzero) digits is 81, while the sum is 12.

The square root of 33330 is about 182.5650568975. The cubic root of 33330 is about 32.1819066851.

Adding to 33330 its product of nonzero digits (81), we get a triangular number (33411 = T₂₅₈).

Adding to 33330 its reverse (3333), we get a palindrome (36663).

It can be divided in two parts, 333 and 30, that added together give a palindrome (363).

The spelling of 33330 in words is "thirty-three thousand, three hundred thirty".