228761 has 4 divisors (see below), whose sum is σ = 246372. Its totient is φ = 211152.

The previous prime is 228757. The next prime is 228773. The reversal of 228761 is 167822.

228761 = 81² + 82² + ... + 106².

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 167822 = 2 ⋅83911.

It can be written as a sum of positive squares in 2 ways, for example, as 17161 + 211600 = 131^2 + 460^2 .

It is a cyclic number.

It is not a de Polignac number, because 228761 - 2² = 228757 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 228761.

It is not an unprimeable number, because it can be changed into a prime (228731) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8786 + ... + 8811.

It is an arithmetic number, because the mean of its divisors is an integer number (61593).

2²²⁸⁷⁶¹ is an apocalyptic number.

It is an amenable number.

228761 is a deficient number, since it is larger than the sum of its proper divisors (17611).

228761 is a wasteful number, since it uses less digits than its factorization.

228761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17610.

The product of its digits is 1344, while the sum is 26.

The square root of 228761 is about 478.2896611887. The cubic root of 228761 is about 61.1590403303.

It can be divided in two parts, 228 and 761, that added together give a palindrome (989).

The spelling of 228761 in words is "two hundred twenty-eight thousand, seven hundred sixty-one".