18773 has 2 divisors, whose sum is σ = 18774. Its totient is φ = 18772.

The previous prime is 18757. The next prime is 18787. The reversal of 18773 is 37781.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 18769 + 4 = 137^2 + 2^2 .

It is an emirp because it is prime and its reverse (37781) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 18773 - 2⁴ = 18757 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a nialpdrome in base 13.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (18713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 9386 + 9387.

It is an arithmetic number, because the mean of its divisors is an integer number (9387).

2¹⁸⁷⁷³ is an apocalyptic number.

It is an amenable number.

18773 is a deficient number, since it is larger than the sum of its proper divisors (1).

18773 is an equidigital number, since it uses as much as digits as its factorization.

18773 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1176, while the sum is 26.

The square root of 18773 is about 137.0145977624. The cubic root of 18773 is about 26.5773225230.

The spelling of 18773 in words is "eighteen thousand, seven hundred seventy-three".