33629216 has 12 divisors (see below), whose sum is σ = 66207582. Its totient is φ = 16814592.

The previous prime is 33629161. The next prime is 33629261. The reversal of 33629216 is 61292633.

It can be written as a sum of positive squares in only one way, i.e., 23001616 + 10627600 = 4796^2 + 3260^2 .

It is a super-2 number, since 2×33629216² = 2261848337549312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32), and also a Moran number because the ratio is a prime number: 1050913 = 33629216 / (3 + 3 + 6 + 2 + 9 + 2 + 1 + 6).

It is an unprimeable number.

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 as a sum of consecutive naturals, namely, 525425 + ... + 525488.

Almost surely, 2^33629216 is an apocalyptic number.

It is an amenable number.

33629216 is a deficient number, since it is larger than the sum of its proper divisors (32578366).

33629216 is a wasteful number, since it uses less digits than its factorization.

33629216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1050923 (or 1050915 counting only the distinct ones).

The product of its digits is 11664, while the sum is 32.

The square root of 33629216 is about 5799.0702703106. The cubic root of 33629216 is about 322.7792297513.

The spelling of 33629216 in words is "thirty-three million, six hundred twenty-nine thousand, two hundred sixteen".