403225 has 9 divisors (see below), whose sum is σ = 503967. Its totient is φ = 320040.

The previous prime is 403219. The next prime is 403241. The reversal of 403225 is 522304.

The square root of 403225 is 635.

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., 145161 + 258064 = 381^2 + 508^2 .

It is not a de Polignac number, because 403225 - 2⁷ = 403097 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 403199 and 403208.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3112 + ... + 3238.

2⁴⁰³²²⁵ is an apocalyptic number.

403225 is the 635-th square number.

403225 is the 318-th centered octagonal number.

It is an amenable number.

403225 is a deficient number, since it is larger than the sum of its proper divisors (100742).

403225 is an equidigital number, since it uses as much as digits as its factorization.

403225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 16.

The cubic root of 403225 is about 73.8781168669.

Multiplying 403225 by its sum of digits (16), we get a square (6451600 = 2540²).

Adding to 403225 its reverse (522304), we get a palindrome (925529).

The spelling of 403225 in words is "four hundred three thousand, two hundred twenty-five".