33552016 has 40 divisors (see below), whose sum is σ = 69229944. Its totient is φ = 15697920.

The previous prime is 33551993. The next prime is 33552017. The reversal of 33552016 is 61025533.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 6553600 + 26998416 = 2560^2 + 5196^2 .

It is a super-2 number, since 2×33552016² = 2251475555328512, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33552017) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 79486 + ... + 79906.

Almost surely, 2^33552016 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 33552016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34614972).

33552016 is an abundant number, since it is smaller than the sum of its proper divisors (35677928).

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

33552016 is a wasteful number, since it uses less digits than its factorization.

33552016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739 (or 733 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 25.

The square root of 33552016 is about 5792.4102064685. The cubic root of 33552016 is about 322.5320473732.

Adding to 33552016 its reverse (61025533), we get a palindrome (94577549).

It can be divided in two parts, 33 and 552016, that added together give a square (552049 = 743²).

The spelling of 33552016 in words is "thirty-three million, five hundred fifty-two thousand, sixteen".