228735 has 48 divisors (see below), whose sum is σ = 471744. Its totient is φ = 101376.

The previous prime is 228733. The next prime is 228737. The reversal of 228735 is 537822.

It is an interprime number because it is at equal distance from previous prime (228733) and next prime (228737).

It is not a de Polignac number, because 228735 - 2¹ = 228733 is a prime.

It is a d-powerful number, because it can be written as 2⁵ + 2¹⁷ + 7⁵ + 8³ + 3⁷ + 5⁷ .

It is a junction number, because it is equal to n+sod(n) for n = 228699 and 228708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228731) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9934 + ... + 9956.

It is an arithmetic number, because the mean of its divisors is an integer number (9828).

2²²⁸⁷³⁵ is an apocalyptic number.

228735 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

228735 is a wasteful number, since it uses less digits than its factorization.

228735 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 61 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 228735 is about 478.2624802344. The cubic root of 228735 is about 61.1567232172.

The spelling of 228735 in words is "two hundred twenty-eight thousand, seven hundred thirty-five".