1682 has 6 divisors (see below), whose sum is σ = 2613. Its totient is φ = 812.

The previous prime is 1669. The next prime is 1693. The reversal of 1682 is 2861.

It is a Cunningham number, because it is equal to 41²+1.

1682 is an esthetic number in base 5, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in 2 ways, for example, as 1681 + 1 = 41^2 + 1^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=29.

It is an Ulam number.

It is a Duffinian number.

It is a plaindrome in base 9 and base 11.

It is a nialpdrome in base 8, base 12, base 14 and base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 1682.

It is an unprimeable number.

1682 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 44 + ... + 72.

2¹⁶⁸² is an apocalyptic number.

1682 is a deficient number, since it is larger than the sum of its proper divisors (931).

1682 is an equidigital number, since it uses as much as digits as its factorization.

With its successor (1683) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (31).

1682 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 31 counting only the distinct ones).

The product of its digits is 96, while the sum is 17.

The square root of 1682 is about 41.0121933088. The cubic root of 1682 is about 11.8925594332.

The spelling of 1682 in words is "one thousand, six hundred eighty-two".