33221313 has 16 divisors (see below), whose sum is σ = 49305600. Its totient is φ = 22107600.

The previous prime is 33221263. The next prime is 33221323. The reversal of 33221313 is 31312233.

33221313 is a `hidden beast` number, since 332 + 21 + 313 = 666.

It is not a de Polignac number, because 33221313 - 2⁶ = 33221249 is a prime.

It is a super-3 number, since 3×33221313³ (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (33221323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28288 + ... + 29438.

It is an arithmetic number, because the mean of its divisors is an integer number (3081600).

Almost surely, 2^33221313 is an apocalyptic number.

It is an amenable number.

33221313 is a deficient number, since it is larger than the sum of its proper divisors (16084287).

33221313 is a wasteful number, since it uses less digits than its factorization.

33221313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2229 (or 2223 counting only the distinct ones).

The product of its digits is 324, while the sum is 18.

The square root of 33221313 is about 5763.7932822057. The cubic root of 33221313 is about 321.4688754540.

Adding to 33221313 its reverse (31312233), we get a palindrome (64533546).

The spelling of 33221313 in words is "thirty-three million, two hundred twenty-one thousand, three hundred thirteen".