63225 has 18 divisors (see below), whose sum is σ = 113646. Its totient is φ = 33600.

The previous prime is 63211. The next prime is 63241. The reversal of 63225 is 52236.

63225 = 8² + 9² + ... + 57².

63225 = 8³ + 9³ + ... + 22³.

63225 is nontrivially palindromic in base 8.

It can be written as a sum of positive squares in 3 ways, for example, as 7056 + 56169 = 84^2 + 237^2 .

It is not a de Polignac number, because 63225 - 2⁷ = 63097 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 63198 and 63207.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 85 + ... + 365.

2⁶³²²⁵ is an apocalyptic number.

It is an amenable number.

63225 is a deficient number, since it is larger than the sum of its proper divisors (50421).

63225 is a wasteful number, since it uses less digits than its factorization.

63225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 289 counting only the distinct ones).

The product of its digits is 360, while the sum is 18.

The square root of 63225 is about 251.4458192136. The cubic root of 63225 is about 39.8378855267.

The spelling of 63225 in words is "sixty-three thousand, two hundred twenty-five".