810225 has 36 divisors (see below), whose sum is σ = 1568476. Its totient is φ = 397440.

The previous prime is 810223. The next prime is 810239. The reversal of 810225 is 522018.

It can be written as a sum of positive squares in 6 ways, for example, as 197136 + 613089 = 444^2 + 783^2 .

It is not a de Polignac number, because 810225 - 2¹ = 810223 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 810198 and 810207.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 810225.

It is not an unprimeable number, because it can be changed into a prime (810223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2787 + ... + 3063.

2⁸¹⁰²²⁵ is an apocalyptic number.

It is an amenable number.

810225 is a deficient number, since it is larger than the sum of its proper divisors (758251).

810225 is a wasteful number, since it uses less digits than its factorization.

810225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 810225 is about 900.1249913206. The cubic root of 810225 is about 93.2256055810.

It can be divided in two parts, 810 and 225, that added together give a triangular number (1035 = T₄₅).

The spelling of 810225 in words is "eight hundred ten thousand, two hundred twenty-five".