228767 has 8 divisors (see below), whose sum is σ = 285312. Its totient is φ = 178200.

The previous prime is 228757. The next prime is 228773. The reversal of 228767 is 767822.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 228767 - 2⁴ = 228751 is a prime.

It is a Duffinian number.

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 228767.

It is not an unprimeable number, because it can be changed into a prime (228707) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1409 + ... + 1562.

It is an arithmetic number, because the mean of its divisors is an integer number (35664).

2²²⁸⁷⁶⁷ is an apocalyptic number.

228767 is a deficient number, since it is larger than the sum of its proper divisors (56545).

228767 is a wasteful number, since it uses less digits than its factorization.

228767 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2989.

The product of its digits is 9408, while the sum is 32.

The square root of 228767 is about 478.2959334972. The cubic root of 228767 is about 61.1595750237.

The spelling of 228767 in words is "two hundred twenty-eight thousand, seven hundred sixty-seven".