33325020 has 72 divisors (see below), whose sum is σ = 104845104. Its totient is φ = 8885376.

The previous prime is 33325009. The next prime is 33325027. The reversal of 33325020 is 2052333.

It is a super-2 number, since 2×33325020² = 2221113916000800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 33324984 and 33325002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33325027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1432 + ... + 8288.

It is an arithmetic number, because the mean of its divisors is an integer number (1456182).

Almost surely, 2^33325020 is an apocalyptic number.

33325020 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 33325020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52422552).

33325020 is an abundant number, since it is smaller than the sum of its proper divisors (71520084).

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

33325020 is a wasteful number, since it uses less digits than its factorization.

33325020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6881 (or 6867 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 18.

The square root of 33325020 is about 5772.7826912157. The cubic root of 33325020 is about 321.8030378604.

Adding to 33325020 its reverse (2052333), we get a palindrome (35377353).

The spelling of 33325020 in words is "thirty-three million, three hundred twenty-five thousand, twenty".