1683 has 12 divisors (see below), whose sum is σ = 2808. Its totient is φ = 960.

The previous prime is 1669. The next prime is 1693. The reversal of 1683 is 3861.

1683 is nontrivially palindromic in base 8.

It is not a de Polignac number, because 1683 - 2^{4} = 1667 is a prime.

It is a D-number.

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

It is not an unprimeable number, because it can be changed into a prime (1613) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 91 + ... + 107.

It is an arithmetic number, because the mean of its divisors is an integer number (234).

1683 is a deficient number, since it is larger than the sum of its proper divisors (1125).

1683 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (1682) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (31).

1683 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34 (or 31 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 1683 is about 41.0243829935. The cubic root of 1683 is about 11.8949157953.

It can be divided in two parts, 168 and 3, that added together give a palindrome (171).

The spelling of 1683 in words is "one thousand, six hundred eighty-three".

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