33045936 has 80 divisors (see below), whose sum is σ = 106445568. Its totient is φ = 8582400.

The previous prime is 33045931. The next prime is 33045953. The reversal of 33045936 is 63954033.

It is a super-2 number, since 2×33045936² = 2184067772232192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 33045897 and 33045906.

It is not an unprimeable number, because it can be changed into a prime (33045931) 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, 775 + ... + 8166.

Almost surely, 2^33045936 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 33045936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53222784).

33045936 is an abundant number, since it is smaller than the sum of its proper divisors (73399632).

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

33045936 is a wasteful number, since it uses less digits than its factorization.

33045936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8970 (or 8964 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 33.

The square root of 33045936 is about 5748.5594717285. The cubic root of 33045936 is about 320.9021935889.

Adding to 33045936 its reverse (63954033), we get a palindrome (96999969).

The spelling of 33045936 in words is "thirty-three million, forty-five thousand, nine hundred thirty-six".