33829 has 2 divisors, whose sum is σ = 33830. Its totient is φ = 33828.

The previous prime is 33827. The next prime is 33851. The reversal of 33829 is 92833.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 31329 + 2500 = 177^2 + 50^2 .

It is a cyclic number.

It is not a de Polignac number, because 33829 - 2¹ = 33827 is a prime.

It is a super-2 number, since 2×33829² = 2288802482, which contains 22 as substring.

Together with 33827, it forms a pair of twin primes.

It is a d-powerful number, because it can be written as 3⁵ + 3⁶ + 8 + 2¹⁵ + 9² .

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16914 + 16915.

It is an arithmetic number, because the mean of its divisors is an integer number (16915).

2³³⁸²⁹ is an apocalyptic number.

It is an amenable number.

33829 is a deficient number, since it is larger than the sum of its proper divisors (1).

33829 is an equidigital number, since it uses as much as digits as its factorization.

33829 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1296, while the sum is 25.

The square root of 33829 is about 183.9266158010. The cubic root of 33829 is about 32.3417155675.

The spelling of 33829 in words is "thirty-three thousand, eight hundred twenty-nine".