8199225 has 30 divisors (see below), whose sum is σ = 15191550. Its totient is φ = 4371840.

The previous prime is 8199187. The next prime is 8199229. The reversal of 8199225 is 5229918.

8199225 is a nontrivial binomial coefficient, being equal to C(4050, 2).

It can be written as a sum of positive squares in 3 ways, for example, as 110889 + 8088336 = 333^2 + 2844^2 .

It is not a de Polignac number, because 8199225 - 2⁶ = 8199161 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 8199225.

It is not an unprimeable number, because it can be changed into a prime (8199229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1 + ... + 4049.

It is an arithmetic number, because the mean of its divisors is an integer number (506385).

Almost surely, 2^8199225 is an apocalyptic number.

8199225 is the 4049-th triangular number and also the 2025-th hexagonal number.

It is an amenable number.

8199225 is a deficient number, since it is larger than the sum of its proper divisors (6992325).

8199225 is a wasteful number, since it uses less digits than its factorization.

8199225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4071 (or 4057 counting only the distinct ones).

The product of its digits is 12960, while the sum is 36.

The square root of 8199225 is about 2863.4288885879. The cubic root of 8199225 is about 201.6466144335.

It can be divided in two parts, 81 and 99225, that multiplied together give a square (8037225 = 2835²).

The spelling of 8199225 in words is "eight million, one hundred ninety-nine thousand, two hundred twenty-five".