33152016 has 40 divisors (see below), whose sum is σ = 89369280. Its totient is φ = 10569856.

The previous prime is 33152003. The next prime is 33152059. The reversal of 33152016 is 61025133.

It is a junction number, because it is equal to n+sod(n) for n = 33151983 and 33152001.

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 7 ways as a sum of consecutive naturals, for example, 13911 + ... + 16118.

It is an arithmetic number, because the mean of its divisors is an integer number (2234232).

Almost surely, 2^33152016 is an apocalyptic number.

It is an amenable number.

33152016 is an abundant number, since it is smaller than the sum of its proper divisors (56217264).

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

33152016 is a wasteful number, since it uses less digits than its factorization.

33152016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30063 (or 30057 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 33152016 is about 5757.7787383678. The cubic root of 33152016 is about 321.2452004108.

Adding to 33152016 its reverse (61025133), we get a palindrome (94177149).

It can be divided in two parts, 33 and 152016, that multiplied together give a triangular number (5016528 = T₃₁₆₇).

The spelling of 33152016 in words is "thirty-three million, one hundred fifty-two thousand, sixteen".