682713 has 12 divisors (see below), whose sum is σ = 1018368. Its totient is φ = 440280.

The previous prime is 682699. The next prime is 682723. The reversal of 682713 is 317286.

It is not a de Polignac number, because 682713 - 2⁴ = 682697 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

682713 is a lucky number.

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (682723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 945 + ... + 1502.

It is an arithmetic number, because the mean of its divisors is an integer number (84864).

2⁶⁸²⁷¹³ is an apocalyptic number.

It is an amenable number.

682713 is a deficient number, since it is larger than the sum of its proper divisors (335655).

682713 is a wasteful number, since it uses less digits than its factorization.

682713 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2484 (or 2481 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 682713 is about 826.2644855009. The cubic root of 682713 is about 88.0533853069.

Adding to 682713 its reverse (317286), we get a palindrome (999999).

The spelling of 682713 in words is "six hundred eighty-two thousand, seven hundred thirteen".