33122976 has 48 divisors (see below), whose sum is σ = 88016544. Its totient is φ = 10905344.

The previous prime is 33122963. The next prime is 33122977. The reversal of 33122976 is 67922133.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (33122977) by changing a digit.

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, 5890 + ... + 10046.

It is an arithmetic number, because the mean of its divisors is an integer number (1833678).

Almost surely, 2^33122976 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 33122976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44008272).

33122976 is an abundant number, since it is smaller than the sum of its proper divisors (54893568).

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

33122976 is a wasteful number, since it uses less digits than its factorization.

33122976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4253 (or 4245 counting only the distinct ones).

The product of its digits is 13608, while the sum is 33.

The square root of 33122976 is about 5755.2563800408. The cubic root of 33122976 is about 321.1513731767.

The spelling of 33122976 in words is "thirty-three million, one hundred twenty-two thousand, nine hundred seventy-six".