33930 has 48 divisors (see below), whose sum is σ = 98280. Its totient is φ = 8064.

The previous prime is 33923. The next prime is 33931. The reversal of 33930 is 3933.

33930 is a nontrivial binomial coefficient, being equal to C(261, 2).

It can be written as a sum of positive squares in 4 ways, for example, as 21609 + 12321 = 147^2 + 111^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (33931) 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 23 ways as a sum of consecutive naturals, for example, 1156 + ... + 1184.

2³³⁹³⁰ is an apocalyptic number.

33930 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

33930 is the 260-th triangular number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49140).

33930 is an abundant number, since it is smaller than the sum of its proper divisors (64350).

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

33930 is a wasteful number, since it uses less digits than its factorization.

33930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 18.

The square root of 33930 is about 184.2009771961. The cubic root of 33930 is about 32.3738701076.

The spelling of 33930 in words is "thirty-three thousand, nine hundred thirty".