33054920 has 32 divisors (see below), whose sum is σ = 74616120. Its totient is φ = 13178880.

The previous prime is 33054907. The next prime is 33054929. The reversal of 33054920 is 2945033.

It can be written as a sum of positive squares in 4 ways, for example, as 27227524 + 5827396 = 5218^2 + 2414^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 33054920.

It is not an unprimeable number, because it can be changed into a prime (33054929) 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 7 ways as a sum of consecutive naturals, for example, 12950 + ... + 15290.

Almost surely, 2^33054920 is an apocalyptic number.

It is an amenable number.

33054920 is an abundant number, since it is smaller than the sum of its proper divisors (41561200).

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

33054920 is a wasteful number, since it uses less digits than its factorization.

33054920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2705 (or 2701 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 26.

The square root of 33054920 is about 5749.3408317824. The cubic root of 33054920 is about 320.9312715375.

Adding to 33054920 its reverse (2945033), we get a palindrome (35999953).

The spelling of 33054920 in words is "thirty-three million, fifty-four thousand, nine hundred twenty".