33882241 has 8 divisors (see below), whose sum is σ = 35946504. Its totient is φ = 31825920.

The previous prime is 33882229. The next prime is 33882257. The reversal of 33882241 is 14228833.

It can be written as a sum of positive squares in 4 ways, for example, as 15046641 + 18835600 = 3879^2 + 4340^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 33882241 - 2¹⁷ = 33751169 is a prime.

It is a super-2 number, since 2×33882241² = 2296012510364162, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (33882281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8401 + ... + 11761.

It is an arithmetic number, because the mean of its divisors is an integer number (4493313).

Almost surely, 2^33882241 is an apocalyptic number.

33882241 is the 3361-st octagonal number.

It is an amenable number.

33882241 is a deficient number, since it is larger than the sum of its proper divisors (2064263).

33882241 is a wasteful number, since it uses less digits than its factorization.

33882241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3971.

The product of its digits is 9216, while the sum is 31.

The square root of 33882241 is about 5820.8453853371. The cubic root of 33882241 is about 323.5867343143.

The spelling of 33882241 in words is "thirty-three million, eight hundred eighty-two thousand, two hundred forty-one".