228657 has 24 divisors (see below), whose sum is σ = 368928. Its totient is φ = 124800.

The previous prime is 228647. The next prime is 228677. The reversal of 228657 is 756822.

It is not a de Polignac number, because 228657 - 2⁶ = 228593 is a prime.

228657 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 228657.

It is not an unprimeable number, because it can be changed into a prime (228617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5557 + ... + 5597.

It is an arithmetic number, because the mean of its divisors is an integer number (15372).

2²²⁸⁶⁵⁷ is an apocalyptic number.

It is an amenable number.

228657 is a deficient number, since it is larger than the sum of its proper divisors (140271).

228657 is a wasteful number, since it uses less digits than its factorization.

228657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 68 counting only the distinct ones).

The product of its digits is 6720, while the sum is 30.

The square root of 228657 is about 478.1809281015. The cubic root of 228657 is about 61.1497708244.

The spelling of 228657 in words is "two hundred twenty-eight thousand, six hundred fifty-seven".