222361 has 2 divisors, whose sum is σ = 222362. Its totient is φ = 222360.

The previous prime is 222349. The next prime is 222367. The reversal of 222361 is 163222.

222361 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 198025 + 24336 = 445^2 + 156^2 .

It is a cyclic number.

It is not a de Polignac number, because 222361 - 2⁵ = 222329 is a prime.

222361 is a lucky number.

It is a nialpdrome in base 12.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (222367) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111180 + 111181.

It is an arithmetic number, because the mean of its divisors is an integer number (111181).

2²²²³⁶¹ is an apocalyptic number.

It is an amenable number.

222361 is a deficient number, since it is larger than the sum of its proper divisors (1).

222361 is an equidigital number, since it uses as much as digits as its factorization.

222361 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 144, while the sum is 16.

The square root of 222361 is about 471.5516938788. The cubic root of 222361 is about 60.5832926018.

Adding to 222361 its reverse (163222), we get a palindrome (385583).

The spelling of 222361 in words is "two hundred twenty-two thousand, three hundred sixty-one".