683 has 2 divisors, whose sum is σ = 684. Its totient is φ = 682.

The previous prime is 677. The next prime is 691. The reversal of 683 is 386.

Subtracting from 683 its sum of digits (17), we obtain a palindrome (666).

Multipling 683 by its sum of digits (17), we get a palindrome (11611).

683 = T_{12} + T_{13} + ... +
T_{17}.

It is a happy number.

683 is nontrivially palindromic in base 9.

It is a weak prime.

683 is a truncatable prime.

It is a cyclic number.

It is not a de Polignac number, because 683 - 2^{6} = 619 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

683 is a Gilda number.

It is the 11-th Jacobsthal number.

It is a magnanimous number.

683 is an undulating number in base 9.

It is a plaindrome in base 4, base 12, base 14 and base 16.

It is not a weakly prime, because it can be changed into another prime (613) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 341 + 342.

It is an arithmetic number, because the mean of its divisors is an integer number (342).

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

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

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

The product of its digits is 144, while the sum is 17.

The square root of 683 is about 26.1342686907. The cubic root of 683 is about 8.8065722253.

The spelling of 683 in words is "six hundred eighty-three", and thus it is an aban number and an oban number.

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