1693 has 2 divisors, whose sum is σ = 1694. Its totient is φ = 1692.

The previous prime is 1669. The next prime is 1697. The reversal of 1693 is 3961.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1369 + 324 = 37^2 + 18^2 .

It is a cyclic number.

It is not a de Polignac number, because 1693 - 2⁹ = 1181 is a prime.

1693 is a lucky number.

It is a plaindrome in base 11, base 14, base 15 and base 16.

It is a nialpdrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 1693.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1697) 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, 846 + 847.

It is an arithmetic number, because the mean of its divisors is an integer number (847).

It is an amenable number.

1693 is a deficient number, since it is larger than the sum of its proper divisors (1).

1693 is an equidigital number, since it uses as much as digits as its factorization.

1693 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 162, while the sum is 19.

The square root of 1693 is about 41.1460812229. The cubic root of 1693 is about 11.9184282419.

The spelling of 1693 in words is "one thousand, six hundred ninety-three".