7225 has 9 divisors (see below), whose sum is σ = 9517.
Its totient is φ = 5440.
The previous prime is 7219. The next prime is 7229. The reversal of 7225 is 5227.
Multipling 7225 by its sum of digits (16), we get a square (115600 = 3402).
It can be divided in two parts, 722 and 5, that added together give a palindrome (727).
7225 = T84 + T85.
It is a happy number.
The square root of 7225 is 85.
It is a perfect power (a square), and thus also a powerful number.
7225 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 4 ways, for example, as 169 + 7056 = 13^2 + 84^2
It is not a de Polignac number, because 7225 - 25 = 7193 is a prime.
It is a Duffinian number.
It is a plaindrome in base 13.
It is a nialpdrome in base 12.
It is a junction number, because it is equal to n+sod(n) for n = 7199 and 7208.
It is not an unprimeable number, because it can be changed into a prime (7229) 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 8 ways as a sum of consecutive naturals, for example, 417 + ... + 433.
27225 is an apocalyptic number.
7225 is the 85-th square number.
7225 is the 43-rd centered octagonal number.
It is an amenable number.
7225 is a deficient number, since it is larger than the sum of its proper divisors (2292).
7225 is a wasteful number, since it uses less digits than its factorization.
7225 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 44 (or 22 counting only the distinct ones).
The product of its digits is 140, while the sum is 16.
The cubic root of 7225 is about 19.3321111660.
The spelling of 7225 in words is "seven thousand, two hundred twenty-five".