228584 has 8 divisors (see below), whose sum is σ = 428610. Its totient is φ = 114288.

The previous prime is 228581. The next prime is 228587. The reversal of 228584 is 485822.

228584 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (228581) and next prime (228587).

It can be written as a sum of positive squares in only one way, i.e., 228484 + 100 = 478^2 + 10^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (228581) 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 as a sum of consecutive naturals, namely, 14279 + ... + 14294.

2²²⁸⁵⁸⁴ is an apocalyptic number.

It is an amenable number.

228584 is a deficient number, since it is larger than the sum of its proper divisors (200026).

228584 is a wasteful number, since it uses less digits than its factorization.

228584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28579 (or 28575 counting only the distinct ones).

The product of its digits is 5120, while the sum is 29.

The square root of 228584 is about 478.1045910677. The cubic root of 228584 is about 61.1432626653.

The spelling of 228584 in words is "two hundred twenty-eight thousand, five hundred eighty-four".