33904229 has 2 divisors, whose sum is σ = 33904230. Its totient is φ = 33904228.

The previous prime is 33904217. The next prime is 33904237. The reversal of 33904229 is 92240933.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 30580900 + 3323329 = 5530^2 + 1823^2 .

It is an emirp because it is prime and its reverse (92240933) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 33904229 - 2⁸ = 33903973 is a prime.

It is a super-2 number, since 2×33904229² = 2298993488168882, which contains 22 as substring.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 33904195 and 33904204.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33904289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16952114 + 16952115.

It is an arithmetic number, because the mean of its divisors is an integer number (16952115).

Almost surely, 2^33904229 is an apocalyptic number.

It is an amenable number.

33904229 is a deficient number, since it is larger than the sum of its proper divisors (1).

33904229 is an equidigital number, since it uses as much as digits as its factorization.

33904229 is an odious number, because the sum of its binary digits is odd.

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

The square root of 33904229 is about 5822.7338081008. The cubic root of 33904229 is about 323.6567167628.

The spelling of 33904229 in words is "thirty-three million, nine hundred four thousand, two hundred twenty-nine".