1783 has 2 divisors, whose sum is σ = 1784. Its totient is φ = 1782.

The previous prime is 1777. The next prime is 1787. The reversal of 1783 is 3871.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1783 is a prime.

It is a plaindrome in base 8 and base 15.

It is a nialpdrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 1783.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1787) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 891 + 892.

It is an arithmetic number, because the mean of its divisors is an integer number (892).

2¹⁷⁸³ is an apocalyptic number.

1783 is a deficient number, since it is larger than the sum of its proper divisors (1).

1783 is an equidigital number, since it uses as much as digits as its factorization.

1783 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 168, while the sum is 19.

The square root of 1783 is about 42.2255846614. The cubic root of 1783 is about 12.1259874493.

Subtracting from 1783 its sum of digits (19), we obtain a square (1764 = 42²).

It can be divided in two parts, 178 and 3, that added together give a palindrome (181).

The spelling of 1783 in words is "one thousand, seven hundred eighty-three".