228361 has 16 divisors (see below), whose sum is σ = 293760. Its totient is φ = 172800.

The previous prime is 228359. The next prime is 228383. The reversal of 228361 is 163822.

228361 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a 3-Lehmer number, since φ(228361) divides (228361-1)³.

It is a cyclic number.

It is not a de Polignac number, because 228361 - 2¹ = 228359 is a prime.

Its product of digits (576) is a multiple of the sum of its prime divisors (144).

228361 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (228301) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2211 + ... + 2311.

It is an arithmetic number, because the mean of its divisors is an integer number (18360).

2²²⁸³⁶¹ is an apocalyptic number.

It is an amenable number.

228361 is a deficient number, since it is larger than the sum of its proper divisors (65399).

228361 is a wasteful number, since it uses less digits than its factorization.

228361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144.

The product of its digits is 576, while the sum is 22.

The square root of 228361 is about 477.8713215919. The cubic root of 228361 is about 61.1233729910.

The spelling of 228361 in words is "two hundred twenty-eight thousand, three hundred sixty-one".