33005720 has 32 divisors (see below), whose sum is σ = 81015120. Its totient is φ = 12001920.

The previous prime is 33005701. The next prime is 33005729. The reversal of 33005720 is 2750033.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 33005692 and 33005701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33005729) 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 7 ways as a sum of consecutive naturals, for example, 37067 + ... + 37946.

Almost surely, 2^33005720 is an apocalyptic number.

It is an amenable number.

33005720 is an abundant number, since it is smaller than the sum of its proper divisors (48009400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

33005720 is a wasteful number, since it uses less digits than its factorization.

33005720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75035 (or 75031 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 20.

The square root of 33005720 is about 5745.0604870619. The cubic root of 33005720 is about 320.7719643495.

Adding to 33005720 its reverse (2750033), we get a palindrome (35755753).

The spelling of 33005720 in words is "thirty-three million, five thousand, seven hundred twenty".