682749 has 10 divisors (see below), whose sum is σ = 1020030. Its totient is φ = 455112.

The previous prime is 682739. The next prime is 682751. The reversal of 682749 is 947286.

It can be written as a sum of positive squares in only one way, i.e., 480249 + 202500 = 693^2 + 450^2 .

It is not a de Polignac number, because 682749 - 2⁴ = 682733 is a prime.

It is a super-2 number, since 2×682749² = 932292394002, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (682729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 4134 + ... + 4295.

It is an arithmetic number, because the mean of its divisors is an integer number (102003).

2⁶⁸²⁷⁴⁹ is an apocalyptic number.

It is an amenable number.

682749 is a deficient number, since it is larger than the sum of its proper divisors (337281).

682749 is an equidigital number, since it uses as much as digits as its factorization.

682749 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8441 (or 8432 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 682749 is about 826.2862700057. The cubic root of 682749 is about 88.0549329881.

It can be divided in two parts, 682 and 749, that added together give a triangular number (1431 = T₅₃).

The spelling of 682749 in words is "six hundred eighty-two thousand, seven hundred forty-nine".