872836033 has 2 divisors, whose sum is σ = 872836034. Its totient is φ = 872836032.

The previous prime is 872835983. The next prime is 872836037. The reversal of 872836033 is 330638278.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 455737104 + 417098929 = 21348^2 + 20423^2 .

It is a cyclic number.

It is not a de Polignac number, because 872836033 - 2¹⁷ = 872704961 is a prime.

It is not a weakly prime, because it can be changed into another prime (872836037) 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 as a sum of consecutive naturals, namely, 436418016 + 436418017.

It is an arithmetic number, because the mean of its divisors is an integer number (436418017).

Almost surely, 2^872836033 is an apocalyptic number.

It is an amenable number.

872836033 is a deficient number, since it is larger than the sum of its proper divisors (1).

872836033 is an equidigital number, since it uses as much as digits as its factorization.

872836033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 145152, while the sum is 40.

The square root of 872836033 is about 29543.7985540113. The cubic root of 872836033 is about 955.6764605027.

The spelling of 872836033 in words is "eight hundred seventy-two million, eight hundred thirty-six thousand, thirty-three".