33122852 has 48 divisors (see below), whose sum is σ = 72791040. Its totient is φ = 12858912.

The previous prime is 33122821. The next prime is 33122861. The reversal of 33122852 is 25822133.

It is a super-2 number, since 2×33122852² = 2194246649227808, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10883 + ... + 13589.

It is an arithmetic number, because the mean of its divisors is an integer number (1516480).

Almost surely, 2^33122852 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 33122852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36395520).

33122852 is an abundant number, since it is smaller than the sum of its proper divisors (39668188).

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

33122852 is a wasteful number, since it uses less digits than its factorization.

33122852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2760 (or 2758 counting only the distinct ones).

The product of its digits is 2880, while the sum is 26.

The square root of 33122852 is about 5755.2456072699. The cubic root of 33122852 is about 321.1509724194.

Adding to 33122852 its reverse (25822133), we get a palindrome (58944985).

The spelling of 33122852 in words is "thirty-three million, one hundred twenty-two thousand, eight hundred fifty-two".