221773 has 2 divisors, whose sum is σ = 221774. Its totient is φ = 221772.

The previous prime is 221747. The next prime is 221797. The reversal of 221773 is 377122.

221773 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., 191844 + 29929 = 438^2 + 173^2 .

It is a cyclic number.

It is not a de Polignac number, because 221773 - 2⁹ = 221261 is a prime.

221773 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 (221713) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110886 + 110887.

It is an arithmetic number, because the mean of its divisors is an integer number (110887).

2²²¹⁷⁷³ is an apocalyptic number.

It is an amenable number.

221773 is a deficient number, since it is larger than the sum of its proper divisors (1).

221773 is an equidigital number, since it uses as much as digits as its factorization.

221773 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 588, while the sum is 22.

The square root of 221773 is about 470.9278076309. The cubic root of 221773 is about 60.5298443471.

Adding to 221773 its reverse (377122), we get a palindrome (598895).

The spelling of 221773 in words is "two hundred twenty-one thousand, seven hundred seventy-three", and thus it is an iban number.