9090225 has 45 divisors (see below), whose sum is σ = 17093307. Its totient is φ = 4775760.

The previous prime is 9090217. The next prime is 9090229. The reversal of 9090225 is 5220909.

The square root of 9090225 is 3015.

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

It can be written as a sum of positive squares in only one way, i.e., 3272481 + 5817744 = 1809^2 + 2412^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 9090225 - 2³ = 9090217 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (9090229) 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 44 ways as a sum of consecutive naturals, for example, 135642 + ... + 135708.

Almost surely, 2^9090225 is an apocalyptic number.

9090225 is the 3015-th square number.

9090225 is the 1508-th centered octagonal number.

It is an amenable number.

9090225 is a deficient number, since it is larger than the sum of its proper divisors (8003082).

9090225 is an equidigital number, since it uses as much as digits as its factorization.

9090225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The cubic root of 9090225 is about 208.7011670587.

The spelling of 9090225 in words is "nine million, ninety thousand, two hundred twenty-five".