30330 has 24 divisors (see below), whose sum is σ = 79092. Its totient is φ = 8064.

The previous prime is 30323. The next prime is 30341. The reversal of 30330 is 3303.

It can be written as a sum of positive squares in 2 ways, for example, as 29241 + 1089 = 171^2 + 33^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a Curzon number.

It is an unprimeable number.

30330 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 79 + ... + 258.

2³⁰³³⁰ is an apocalyptic number.

30330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

30330 is an abundant number, since it is smaller than the sum of its proper divisors (48762).

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 (39546).

30330 is a wasteful number, since it uses less digits than its factorization.

30330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 9.

The square root of 30330 is about 174.1551032844. The cubic root of 30330 is about 31.1858417023.

Subtracting from 30330 its product of nonzero digits (27), we obtain a palindrome (30303).

Adding to 30330 its reverse (3303), we get a palindrome (33633).

It can be divided in two parts, 303 and 30, that added together give a palindrome (333).

The spelling of 30330 in words is "thirty thousand, three hundred thirty".