228961 has 2 divisors, whose sum is σ = 228962. Its totient is φ = 228960.

The previous prime is 228959. The next prime is 228983. The reversal of 228961 is 169822.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 207936 + 21025 = 456^2 + 145^2 .

It is a cyclic number.

It is not a de Polignac number, because 228961 - 2¹ = 228959 is a prime.

Together with 228959, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (228901) 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 as a sum of consecutive naturals, namely, 114480 + 114481.

It is an arithmetic number, because the mean of its divisors is an integer number (114481).

2²²⁸⁹⁶¹ is an apocalyptic number.

It is an amenable number.

228961 is a deficient number, since it is larger than the sum of its proper divisors (1).

228961 is an equidigital number, since it uses as much as digits as its factorization.

228961 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1728, while the sum is 28.

The square root of 228961 is about 478.4986938331. The cubic root of 228961 is about 61.1768584099.

The spelling of 228961 in words is "two hundred twenty-eight thousand, nine hundred sixty-one".