33833052 has 90 divisors (see below), whose sum is σ = 97330464. Its totient is φ = 10240560.

The previous prime is 33833047. The next prime is 33833117. The reversal of 33833052 is 25033833.

It is a happy number.

It is a super-2 number, since 2×33833052² = 2289350815269408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 38773 + ... + 39635.

Almost surely, 2^33833052 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 33833052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48665232).

33833052 is an abundant number, since it is smaller than the sum of its proper divisors (63497412).

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

33833052 is a wasteful number, since it uses less digits than its factorization.

33833052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 901 (or 879 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 33833052 is about 5816.6186053411. The cubic root of 33833052 is about 323.4300680082.

Adding to 33833052 its reverse (25033833), we get a palindrome (58866885).

The spelling of 33833052 in words is "thirty-three million, eight hundred thirty-three thousand, fifty-two".