33806413 has 2 divisors, whose sum is σ = 33806414. Its totient is φ = 33806412.

The previous prime is 33806411. The next prime is 33806441. The reversal of 33806413 is 31460833.

It is an a-pointer prime, because the next prime (33806441) can be obtained adding 33806413 to its sum of digits (28).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 28869129 + 4937284 = 5373^2 + 2222^2 .

It is an emirp because it is prime and its reverse (31460833) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 33806413 - 2¹ = 33806411 is a prime.

It is a super-2 number, since 2×33806413² = 2285747119853138, which contains 22 as substring.

Together with 33806411, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33806411) 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, 16903206 + 16903207.

It is an arithmetic number, because the mean of its divisors is an integer number (16903207).

Almost surely, 2^33806413 is an apocalyptic number.

It is an amenable number.

33806413 is a deficient number, since it is larger than the sum of its proper divisors (1).

33806413 is an equidigital number, since it uses as much as digits as its factorization.

33806413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 33806413 is about 5814.3282501077. The cubic root of 33806413 is about 323.3451597568.

The spelling of 33806413 in words is "thirty-three million, eight hundred six thousand, four hundred thirteen".