228825 has 30 divisors (see below), whose sum is σ = 427614. Its totient is φ = 120960.

The previous prime is 228799. The next prime is 228829. The reversal of 228825 is 528822.

It can be written as a sum of positive squares in 3 ways, for example, as 1296 + 227529 = 36^2 + 477^2 .

It is not a de Polignac number, because 228825 - 2⁵ = 228793 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 228825.

It is not an unprimeable number, because it can be changed into a prime (228829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1969 + ... + 2081.

2²²⁸⁸²⁵ is an apocalyptic number.

228825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

228825 is a deficient number, since it is larger than the sum of its proper divisors (198789).

228825 is a wasteful number, since it uses less digits than its factorization.

228825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 121 counting only the distinct ones).

The product of its digits is 2560, while the sum is 27.

The square root of 228825 is about 478.3565615731. The cubic root of 228825 is about 61.1647432453.

The spelling of 228825 in words is "two hundred twenty-eight thousand, eight hundred twenty-five".