33025420 has 48 divisors (see below), whose sum is σ = 73513440. Its totient is φ = 12427776.

The previous prime is 33025417. The next prime is 33025453. The reversal of 33025420 is 2452033.

33025420 = T₁₃ + T₁₄ + ... + T₅₈₂.

It is a super-3 number, since 3×33025420³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88354 + ... + 88726.

It is an arithmetic number, because the mean of its divisors is an integer number (1531530).

Almost surely, 2^33025420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33025420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36756720).

33025420 is an abundant number, since it is smaller than the sum of its proper divisors (40488020).

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

33025420 is a wasteful number, since it uses less digits than its factorization.

33025420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 19.

The square root of 33025420 is about 5746.7747476302. The cubic root of 33025420 is about 320.8357709753.

33025420 divided by its sum of digits (19) gives a triangular number (1738180 = T₁₈₆₄).

Adding to 33025420 its reverse (2452033), we get a palindrome (35477453).

The spelling of 33025420 in words is "thirty-three million, twenty-five thousand, four hundred twenty".