1663 has 2 divisors, whose sum is σ = 1664.
Its totient is φ = 1662.
The previous prime is 1657. The next prime is 1667. The reversal of 1663 is 3661.
Adding to 1663 its product of digits (108), we get a palindrome (1771).
It can be divided in two parts, 166 and 3, that added together give a square (169 = 132).
It is a happy number.
1663 is nontrivially palindromic in base 6.
It is a strong prime.
It is a cyclic number.
It is not a de Polignac number, because 1663 - 29 = 1151 is a prime.
1663 is a lucky number.
It is a plaindrome in base 9, base 13 and base 16.
It is a zygodrome in base 2.
It is a congruent number.
It is not a weakly prime, because it can be changed into another prime (1667) by changing a digit.
It is a polite number, since it can be written as a sum of consecutive naturals, namely, 831 + 832.
It is an arithmetic number, because the mean of its divisors is an integer number (832).
21663 is an apocalyptic number.
1663 is a deficient number, since it is larger than the sum of its proper divisors (1).
1663 is an equidigital number, since it uses as much as digits as its factorization.
1663 is an odious number, because the sum of its binary digits is odd.
The product of its digits is 108, while the sum is 16.
The square root of 1663 is about 40.7798970082.
The cubic root of 1663 is about 11.8476100030.
The spelling of 1663 in words is "one thousand, six hundred sixty-three".