54225 has 18 divisors (see below), whose sum is σ = 97526. Its totient is φ = 28800.

The previous prime is 54217. The next prime is 54251. The reversal of 54225 is 52245.

It can be written as a sum of positive squares in 3 ways, for example, as 7569 + 46656 = 87^2 + 216^2 .

It is not a de Polignac number, because 54225 - 2³ = 54217 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 15.

It is a zygodrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 54198 and 54207.

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, 105 + ... + 345.

2⁵⁴²²⁵ is an apocalyptic number.

It is an amenable number.

54225 is a deficient number, since it is larger than the sum of its proper divisors (43301).

54225 is a wasteful number, since it uses less digits than its factorization.

54225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 249 counting only the distinct ones).

The product of its digits is 400, while the sum is 18.

The square root of 54225 is about 232.8626204439. The cubic root of 54225 is about 37.8500554635.

The spelling of 54225 in words is "fifty-four thousand, two hundred twenty-five".