33812829 has 16 divisors (see below), whose sum is σ = 52272000. Its totient is φ = 21561408.

The previous prime is 33812809. The next prime is 33812851. The reversal of 33812829 is 92821833.

It is a happy number.

33812829 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 33812829 - 2⁸ = 33812573 is a prime.

It is a super-3 number, since 3×33812829³ (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 33812793 and 33812802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33812809) 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 in 15 ways as a sum of consecutive naturals, for example, 26604 + ... + 27845.

It is an arithmetic number, because the mean of its divisors is an integer number (3267000).

Almost surely, 2^33812829 is an apocalyptic number.

It is an amenable number.

33812829 is a deficient number, since it is larger than the sum of its proper divisors (18459171).

33812829 is a wasteful number, since it uses less digits than its factorization.

33812829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54481 (or 54475 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 33812829 is about 5814.8799643673. The cubic root of 33812829 is about 323.3656139758.

The spelling of 33812829 in words is "thirty-three million, eight hundred twelve thousand, eight hundred twenty-nine".