33828017 has 2 divisors, whose sum is σ = 33828018. Its totient is φ = 33828016.

The previous prime is 33828001. The next prime is 33828043. The reversal of 33828017 is 71082833.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 25090081 + 8737936 = 5009^2 + 2956^2 .

It is a cyclic number.

It is not a de Polignac number, because 33828017 - 2⁴ = 33828001 is a prime.

It is a super-2 number, since 2×33828017² = 2288669468304578, which contains 22 as substring.

It is a Chen prime.

It is equal to p_2079518 and since 33828017 and 2079518 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (33828097) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16914008 + 16914009.

It is an arithmetic number, because the mean of its divisors is an integer number (16914009).

Almost surely, 2^33828017 is an apocalyptic number.

It is an amenable number.

33828017 is a deficient number, since it is larger than the sum of its proper divisors (1).

33828017 is an equidigital number, since it uses as much as digits as its factorization.

33828017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 33828017 is about 5816.1857776381. The cubic root of 33828017 is about 323.4140230355.

The spelling of 33828017 in words is "thirty-three million, eight hundred twenty-eight thousand, seventeen".