33145920 has 168 divisors, whose sum is σ = 120892824. Its totient is φ = 8306688.

The previous prime is 33145909. The next prime is 33145933. The reversal of 33145920 is 2954133.

It can be written as a sum of positive squares in 4 ways, for example, as 17842176 + 15303744 = 4224^2 + 3912^2 .

It is a congruent number.

It is an unprimeable number.

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, 48622 + ... + 49298.

Almost surely, 2^33145920 is an apocalyptic number.

33145920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33145920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60446412).

33145920 is an abundant number, since it is smaller than the sum of its proper divisors (87746904).

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

33145920 is a wasteful number, since it uses less digits than its factorization.

33145920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 33145920 is about 5757.2493432194. The cubic root of 33145920 is about 321.2255089910.

The spelling of 33145920 in words is "thirty-three million, one hundred forty-five thousand, nine hundred twenty".