33213630 has 32 divisors (see below), whose sum is σ = 81569664. Its totient is φ = 8650656.

The previous prime is 33213623. The next prime is 33213647. The reversal of 33213630 is 3631233.

It is a super-2 number, since 2×33213630² = 2206290435553800, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 33213597 and 33213606.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11584 + ... + 14163.

It is an arithmetic number, because the mean of its divisors is an integer number (2549052).

Almost surely, 2^33213630 is an apocalyptic number.

33213630 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

33213630 is an abundant number, since it is smaller than the sum of its proper divisors (48356034).

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

33213630 is a wasteful number, since it uses less digits than its factorization.

33213630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25800.

The product of its (nonzero) digits is 972, while the sum is 21.

The square root of 33213630 is about 5763.1267555035. The cubic root of 33213630 is about 321.4440918079. Note that the first 3 decimals are identical.

Adding to 33213630 its reverse (3631233), we get a palindrome (36844863).

The spelling of 33213630 in words is "thirty-three million, two hundred thirteen thousand, six hundred thirty".