33485144 has 64 divisors (see below), whose sum is σ = 82425600. Its totient is φ = 12355200.

The previous prime is 33485143. The next prime is 33485149. The reversal of 33485144 is 44158433.

It is a super-2 number, since 2×33485144² = 2242509737401472, which contains 22 as substring.

It is a nialpdrome in base 7.

It is a self number, because there is not a number n which added to its sum of digits gives 33485144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33485141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10274 + ... + 13134.

It is an arithmetic number, because the mean of its divisors is an integer number (1287900).

Almost surely, 2^33485144 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 33485144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41212800).

33485144 is an abundant number, since it is smaller than the sum of its proper divisors (48940456).

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

33485144 is a wasteful number, since it uses less digits than its factorization.

33485144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2904 (or 2900 counting only the distinct ones).

The product of its digits is 23040, while the sum is 32.

The square root of 33485144 is about 5786.6349461496. The cubic root of 33485144 is about 322.3176269923.

Subtracting 33485144 from its reverse (44158433), we obtain a square (10673289 = 3267²).

The spelling of 33485144 in words is "thirty-three million, four hundred eighty-five thousand, one hundred forty-four".