33013829 has 2 divisors, whose sum is σ = 33013830. Its totient is φ = 33013828.

The previous prime is 33013817. The next prime is 33013891. The reversal of 33013829 is 92831033.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 22137025 + 10876804 = 4705^2 + 3298^2 .

It is a cyclic number.

It is not a de Polignac number, because 33013829 - 2⁸ = 33013573 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33013529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16506914 + 16506915.

It is an arithmetic number, because the mean of its divisors is an integer number (16506915).

Almost surely, 2^33013829 is an apocalyptic number.

It is an amenable number.

33013829 is a deficient number, since it is larger than the sum of its proper divisors (1).

33013829 is an equidigital number, since it uses as much as digits as its factorization.

33013829 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888, while the sum is 29.

The square root of 33013829 is about 5745.7661804149. The cubic root of 33013829 is about 320.7982317850.

The spelling of 33013829 in words is "thirty-three million, thirteen thousand, eight hundred twenty-nine".