228137 has 16 divisors (see below), whose sum is σ = 295680. Its totient is φ = 171072.

The previous prime is 228131. The next prime is 228139. The reversal of 228137 is 731822.

It is a cyclic number.

It is not a de Polignac number, because 228137 - 2¹⁰ = 227113 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 228137.

It is not an unprimeable number, because it can be changed into a prime (228131) 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 15 ways as a sum of consecutive naturals, for example, 2039 + ... + 2147.

It is an arithmetic number, because the mean of its divisors is an integer number (18480).

2²²⁸¹³⁷ is an apocalyptic number.

It is an amenable number.

228137 is a deficient number, since it is larger than the sum of its proper divisors (67543).

228137 is a wasteful number, since it uses less digits than its factorization.

228137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152.

The product of its digits is 672, while the sum is 23.

The square root of 228137 is about 477.6368913725. The cubic root of 228137 is about 61.1033810853.

Adding to 228137 its reverse (731822), we get a palindrome (959959).

The spelling of 228137 in words is "two hundred twenty-eight thousand, one hundred thirty-seven".