872017 has 2 divisors, whose sum is σ = 872018. Its totient is φ = 872016.

The previous prime is 871993. The next prime is 872023. The reversal of 872017 is 710278.

It is a happy number.

872017 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 576081 + 295936 = 759^2 + 544^2 .

It is a cyclic number.

It is not a de Polignac number, because 872017 - 2¹⁹ = 347729 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 871982 and 872000.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 872017.

It is not a weakly prime, because it can be changed into another prime (872057) by changing a digit.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 436008 + 436009.

It is an arithmetic number, because the mean of its divisors is an integer number (436009).

2⁸⁷²⁰¹⁷ is an apocalyptic number.

It is an amenable number.

872017 is a deficient number, since it is larger than the sum of its proper divisors (1).

872017 is an equidigital number, since it uses as much as digits as its factorization.

872017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 784, while the sum is 25.

The square root of 872017 is about 933.8185048498. The cubic root of 872017 is about 95.5377444619.

It can be divided in two parts, 8720 and 17, that multiplied together give a triangular number (148240 = T₅₄₄).

The spelling of 872017 in words is "eight hundred seventy-two thousand, seventeen".