1763 has 4 divisors (see below), whose sum is σ = 1848. Its totient is φ = 1680.

The previous prime is 1759. The next prime is 1777. The reversal of 1763 is 3671.

It is a Cunningham number, because it is equal to 42²-1.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is not a de Polignac number, because 1763 - 2² = 1759 is a prime.

It is a Duffinian number.

It is a plaindrome in base 9 and base 14.

It is not an unprimeable number, because it can be changed into a prime (1723) 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 in 3 ways as a sum of consecutive naturals, for example, 20 + ... + 62.

It is an arithmetic number, because the mean of its divisors is an integer number (462).

1763 is a deficient number, since it is larger than the sum of its proper divisors (85).

1763 is an equidigital number, since it uses as much as digits as its factorization.

1763 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84.

The product of its digits is 126, while the sum is 17.

The square root of 1763 is about 41.9880935504. The cubic root of 1763 is about 12.0804775917.

It can be divided in two parts, 176 and 3, that multiplied together give a triangular number (528 = T₃₂).

The spelling of 1763 in words is "one thousand, seven hundred sixty-three".