228177 has 14 divisors (see below), whose sum is σ = 343202. Its totient is φ = 151632.

The previous prime is 228139. The next prime is 228181. The reversal of 228177 is 771822.

It can be written as a sum of positive squares in only one way, i.e., 123201 + 104976 = 351^2 + 324^2 .

It is not a de Polignac number, because 228177 - 2⁶ = 228113 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

228177 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 228177.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 228177.

It is not an unprimeable number, because it can be changed into a prime (228127) 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 13 ways as a sum of consecutive naturals, for example, 573 + ... + 885.

2²²⁸¹⁷⁷ is an apocalyptic number.

228177 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

228177 is a deficient number, since it is larger than the sum of its proper divisors (115025).

228177 is an frugal number, since it uses more digits than its factorization.

228177 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 316 counting only the distinct ones).

The product of its digits is 1568, while the sum is 27.

The square root of 228177 is about 477.6787623498. The cubic root of 228177 is about 61.1069520279.

Subtracting from 228177 its sum of digits (27), we obtain a triangular number (228150 = T₆₇₅).

Adding to 228177 its reverse (771822), we get a palindrome (999999).

The spelling of 228177 in words is "two hundred twenty-eight thousand, one hundred seventy-seven".