817225 has 12 divisors (see below), whose sum is σ = 1026844. Its totient is φ = 645120.

The previous prime is 817211. The next prime is 817237. The reversal of 817225 is 522718.

It can be written as a sum of positive squares in 6 ways, for example, as 65536 + 751689 = 256^2 + 867^2 .

It is not a de Polignac number, because 817225 - 2¹⁵ = 784457 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 817225.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2257 + ... + 2593.

2⁸¹⁷²²⁵ is an apocalyptic number.

It is an amenable number.

817225 is a deficient number, since it is larger than the sum of its proper divisors (209619).

817225 is a wasteful number, since it uses less digits than its factorization.

817225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 439 counting only the distinct ones).

The product of its digits is 1120, while the sum is 25.

The square root of 817225 is about 904.0049778624. The cubic root of 817225 is about 93.4933126467.

It can be divided in two parts, 81 and 7225, that multiplied together give a square (585225 = 765²).

The spelling of 817225 in words is "eight hundred seventeen thousand, two hundred twenty-five".