872003633 has 2 divisors, whose sum is σ = 872003634. Its totient is φ = 872003632.

The previous prime is 872003617. The next prime is 872003677. The reversal of 872003633 is 336300278.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 493195264 + 378808369 = 22208^2 + 19463^2 .

It is a cyclic number.

It is not a de Polignac number, because 872003633 - 2⁴ = 872003617 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 872003633.

It is not a weakly prime, because it can be changed into another prime (872003683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 436001816 + 436001817.

It is an arithmetic number, because the mean of its divisors is an integer number (436001817).

Almost surely, 2^872003633 is an apocalyptic number.

It is an amenable number.

872003633 is a deficient number, since it is larger than the sum of its proper divisors (1).

872003633 is an equidigital number, since it uses as much as digits as its factorization.

872003633 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18144, while the sum is 32.

The square root of 872003633 is about 29529.7076348548. The cubic root of 872003633 is about 955.3725629879.

The spelling of 872003633 in words is "eight hundred seventy-two million, three thousand, six hundred thirty-three".