213330 has 32 divisors (see below), whose sum is σ = 552384. Its totient is φ = 52416.

The previous prime is 213329. The next prime is 213337. The reversal of 213330 is 33312.

It is a happy number.

It is a Curzon number.

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (213337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117 + ... + 663.

It is an arithmetic number, because the mean of its divisors is an integer number (17262).

2²¹³³³⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276192).

213330 is an abundant number, since it is smaller than the sum of its proper divisors (339054).

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

213330 is a wasteful number, since it uses less digits than its factorization.

213330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570.

The product of its (nonzero) digits is 54, while the sum is 12.

The square root of 213330 is about 461.8766068984. The cubic root of 213330 is about 59.7517520771.

Adding to 213330 its reverse (33312), we get a palindrome (246642).

The spelling of 213330 in words is "two hundred thirteen thousand, three hundred thirty".