33147216 has 30 divisors (see below), whose sum is σ = 92766570. Its totient is φ = 11049024.

The previous prime is 33147199. The next prime is 33147223. The reversal of 33147216 is 61274133.

It can be written as a sum of positive squares in only one way, i.e., 31404816 + 1742400 = 5604^2 + 1320^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 33147216.

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 114951 + ... + 115238.

It is an arithmetic number, because the mean of its divisors is an integer number (3092219).

Almost surely, 2^33147216 is an apocalyptic number.

33147216 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

33147216 is an abundant number, since it is smaller than the sum of its proper divisors (59619354).

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

33147216 is a wasteful number, since it uses less digits than its factorization.

33147216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230203 (or 230194 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 33147216 is about 5757.3618958686. The cubic root of 33147216 is about 321.2296955579.

The spelling of 33147216 in words is "thirty-three million, one hundred forty-seven thousand, two hundred sixteen".