16993 has 2 divisors, whose sum is σ = 16994. Its totient is φ = 16992.

The previous prime is 16987. The next prime is 17011. The reversal of 16993 is 39961.

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., 11664 + 5329 = 108^2 + 73^2 .

It is a cyclic number.

It is not a de Polignac number, because 16993 - 2⁹ = 16481 is a prime.

It is not a weakly prime, because it can be changed into another prime (16903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 8496 + 8497.

It is an arithmetic number, because the mean of its divisors is an integer number (8497).

2¹⁶⁹⁹³ is an apocalyptic number.

It is an amenable number.

16993 is a deficient number, since it is larger than the sum of its proper divisors (1).

16993 is an equidigital number, since it uses as much as digits as its factorization.

16993 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1458, while the sum is 28.

The square root of 16993 is about 130.3572015655. The cubic root of 16993 is about 25.7092862120.

It can be divided in two parts, 169 and 93, that added together give a palindrome (262).

The spelling of 16993 in words is "sixteen thousand, nine hundred ninety-three".