33872833 has 2 divisors, whose sum is σ = 33872834. Its totient is φ = 33872832.

The previous prime is 33872831. The next prime is 33872837. The reversal of 33872833 is 33827833.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 33837489 + 35344 = 5817^2 + 188^2 .

It is a cyclic number.

It is not a de Polignac number, because 33872833 - 2¹ = 33872831 is a prime.

It is a super-2 number, since 2×33872833² = 2294737630891778, which contains 22 as substring.

Together with 33872831, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 33872792 and 33872801.

It is not a weakly prime, because it can be changed into another prime (33872831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16936416 + 16936417.

It is an arithmetic number, because the mean of its divisors is an integer number (16936417).

Almost surely, 2^33872833 is an apocalyptic number.

It is an amenable number.

33872833 is a deficient number, since it is larger than the sum of its proper divisors (1).

33872833 is an equidigital number, since it uses as much as digits as its factorization.

33872833 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 72576, while the sum is 37.

The square root of 33872833 is about 5820.0371991938. The cubic root of 33872833 is about 323.5567816929.

The spelling of 33872833 in words is "thirty-three million, eight hundred seventy-two thousand, eight hundred thirty-three".