33872033 has 8 divisors (see below), whose sum is σ = 36619968. Its totient is φ = 31144464.

The previous prime is 33872023. The next prime is 33872053. The reversal of 33872033 is 33027833.

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

It is not a de Polignac number, because 33872033 - 2⁶ = 33871969 is a prime.

It is a super-2 number, since 2×33872033² = 2294629239106178, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 33871987 and 33872005.

It is not an unprimeable number, because it can be changed into a prime (33872023) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1535 + ... + 8372.

It is an arithmetic number, because the mean of its divisors is an integer number (4577496).

Almost surely, 2^33872033 is an apocalyptic number.

It is an amenable number.

33872033 is a deficient number, since it is larger than the sum of its proper divisors (2747935).

33872033 is a wasteful number, since it uses less digits than its factorization.

33872033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10183.

The product of its (nonzero) digits is 9072, while the sum is 29.

The square root of 33872033 is about 5819.9684707050. The cubic root of 33872033 is about 323.5542344455.

Adding to 33872033 its reverse (33027833), we get a palindrome (66899866).

The spelling of 33872033 in words is "thirty-three million, eight hundred seventy-two thousand, thirty-three".