33977322 has 48 divisors (see below), whose sum is σ = 80081352. Its totient is φ = 10368000.

The previous prime is 33977311. The next prime is 33977323. The reversal of 33977322 is 22377933.

33977322 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 33977241 + 81 = 5829^2 + 9^2 .

It is not an unprimeable number, because it can be changed into a prime (33977323) 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 23 ways as a sum of consecutive naturals, for example, 9822 + ... + 12822.

Almost surely, 2^33977322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33977322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40040676).

33977322 is an abundant number, since it is smaller than the sum of its proper divisors (46104030).

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

33977322 is a wasteful number, since it uses less digits than its factorization.

33977322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3063 (or 3060 counting only the distinct ones).

The product of its digits is 47628, while the sum is 36.

The square root of 33977322 is about 5829.0069480144. The cubic root of 33977322 is about 323.8891367387.

The spelling of 33977322 in words is "thirty-three million, nine hundred seventy-seven thousand, three hundred twenty-two".