228753 has 12 divisors (see below), whose sum is σ = 377728. Its totient is φ = 130680.

The previous prime is 228751. The next prime is 228757. The reversal of 228753 is 357822.

It is not a de Polignac number, because 228753 - 2¹ = 228751 is a prime.

It is a d-powerful number, because it can be written as 2 + 2⁷ + 7⁶ + 8⁵ + 5⁷ + 3⁴ .

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228751) 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 11 ways as a sum of consecutive naturals, for example, 1753 + ... + 1878.

2²²⁸⁷⁵³ is an apocalyptic number.

It is an amenable number.

228753 is a deficient number, since it is larger than the sum of its proper divisors (148975).

228753 is a wasteful number, since it uses less digits than its factorization.

228753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3644 (or 3641 counting only the distinct ones).

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

The square root of 228753 is about 478.2812979827. The cubic root of 228753 is about 61.1583273911.

The spelling of 228753 in words is "two hundred twenty-eight thousand, seven hundred fifty-three".