33968825 has 24 divisors (see below), whose sum is σ = 46443456. Its totient is φ = 24440000.

The previous prime is 33968821. The next prime is 33968843. The reversal of 33968825 is 52886933.

It is not a de Polignac number, because 33968825 - 2² = 33968821 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (33968821) 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 in 23 ways as a sum of consecutive naturals, for example, 27164 + ... + 28386.

It is an arithmetic number, because the mean of its divisors is an integer number (1935144).

Almost surely, 2^33968825 is an apocalyptic number.

It is an amenable number.

33968825 is a deficient number, since it is larger than the sum of its proper divisors (12474631).

33968825 is a wasteful number, since it uses less digits than its factorization.

33968825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1345 (or 1340 counting only the distinct ones).

The product of its digits is 311040, while the sum is 44.

The square root of 33968825 is about 5828.2780475883. The cubic root of 33968825 is about 323.8621352440.

It can be divided in two parts, 3396 and 8825, that added together give a palindrome (12221).

The spelling of 33968825 in words is "thirty-three million, nine hundred sixty-eight thousand, eight hundred twenty-five".