1782 has 20 divisors (see below), whose sum is σ = 4356. Its totient is φ = 540.

The previous prime is 1777. The next prime is 1783. The reversal of 1782 is 2871.

1782 is nontrivially palindromic in base 16.

It is a Harshad number since it is a multiple of its sum of digits (18).

1782 is an undulating number in base 16.

Its product of digits (112) is a multiple of the sum of its prime divisors (16).

It is a plaindrome in base 8.

It is a nialpdrome in base 3 and base 13.

It is a zygodrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1783) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 157 + ... + 167.

1782 is the 27-th heptagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1782, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2178).

1782 is an abundant number, since it is smaller than the sum of its proper divisors (2574).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1782 is a wasteful number, since it uses less digits than its factorization.

1782 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25 (or 16 counting only the distinct ones).

The product of its digits is 112, while the sum is 18.

The square root of 1782 is about 42.2137418384. The cubic root of 1782 is about 12.1237200619.

Subtracting from 1782 its sum of digits (18), we obtain a square (1764 = 42²).

1782 divided by its sum of digits (18) gives a palindrome (99).

Subtracting 1782 from its reverse (2871), we obtain a square (1089 = 33²).

It can be divided in two parts, 17 and 82, that added together give a palindrome (99).

The spelling of 1782 in words is "one thousand, seven hundred eighty-two".