802872225 has 27 divisors (see below), whose sum is σ = 1438795033. Its totient is φ = 427971840.

The previous prime is 802872173. The next prime is 802872229. The reversal of 802872225 is 522278208.

The square root of 802872225 is 28335.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 20439441 + 782432784 = 4521^2 + 27972^2 .

It is not a de Polignac number, because 802872225 - 2⁷ = 802872097 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 802872225.

It is not an unprimeable number, because it can be changed into a prime (802872229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 424081 + ... + 425969.

Almost surely, 2^802872225 is an apocalyptic number.

802872225 is the 28335-th square number.

802872225 is the 14168-th centered octagonal number.

It is an amenable number.

802872225 is a deficient number, since it is larger than the sum of its proper divisors (635922808).

802872225 is an equidigital number, since it uses as much as digits as its factorization.

802872225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3794 (or 1897 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The cubic root of 802872225 is about 929.4274137558.

Multiplying 802872225 by its sum of digits (36), we get a square (28903400100 = 170010²).

The spelling of 802872225 in words is "eight hundred two million, eight hundred seventy-two thousand, two hundred twenty-five".