33213330 has 48 divisors (see below), whose sum is σ = 90904320. Its totient is φ = 8390304.

The previous prime is 33213317. The next prime is 33213331. The reversal of 33213330 is 3331233.

33213330 is a `hidden beast` number, since 332 + 1 + 3 + 330 = 666.

It is a super-3 number, since 3×33213330³ (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33213331) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8002 + ... + 11421.

It is an arithmetic number, because the mean of its divisors is an integer number (1893840).

Almost surely, 2^33213330 is an apocalyptic number.

33213330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

33213330 is an abundant number, since it is smaller than the sum of its proper divisors (57690990).

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

33213330 is a wasteful number, since it uses less digits than its factorization.

33213330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19455 (or 19452 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 18.

The square root of 33213330 is about 5763.1007279068. The cubic root of 33213330 is about 321.4431239972.

Adding to 33213330 its reverse (3331233), we get a palindrome (36544563).

The spelling of 33213330 in words is "thirty-three million, two hundred thirteen thousand, three hundred thirty".