90225 has 18 divisors (see below), whose sum is σ = 162006. Its totient is φ = 48000.

The previous prime is 90217. The next prime is 90227. The reversal of 90225 is 52209.

It can be written as a sum of positive squares in 3 ways, for example, as 28224 + 62001 = 168^2 + 249^2 .

It is not a de Polignac number, because 90225 - 2³ = 90217 is a prime.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 90198 and 90207.

It is not an unprimeable number, because it can be changed into a prime (90227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 25 + ... + 425.

2⁹⁰²²⁵ is an apocalyptic number.

It is an amenable number.

90225 is a deficient number, since it is larger than the sum of its proper divisors (71781).

90225 is a wasteful number, since it uses less digits than its factorization.

90225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 90225 is about 300.3747659175. The cubic root of 90225 is about 44.8513614274.

The spelling of 90225 in words is "ninety thousand, two hundred twenty-five".