33828407 has 2 divisors, whose sum is σ = 33828408. Its totient is φ = 33828406.

The previous prime is 33828383. The next prime is 33828433. The reversal of 33828407 is 70482833.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 33828407 - 2¹² = 33824311 is a prime.

It is a super-2 number, since 2×33828407² = 2288722240315298, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33828437) 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, 16914203 + 16914204.

It is an arithmetic number, because the mean of its divisors is an integer number (16914204).

Almost surely, 2^33828407 is an apocalyptic number.

33828407 is a deficient number, since it is larger than the sum of its proper divisors (1).

33828407 is an equidigital number, since it uses as much as digits as its factorization.

33828407 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32256, while the sum is 35.

The square root of 33828407 is about 5816.2193046686. The cubic root of 33828407 is about 323.4152659006.

The spelling of 33828407 in words is "thirty-three million, eight hundred twenty-eight thousand, four hundred seven".