682407 has 24 divisors (see below), whose sum is σ = 1102608. Its totient is φ = 403200.

The previous prime is 682373. The next prime is 682411. The reversal of 682407 is 704286.

It is not a de Polignac number, because 682407 - 2⁸ = 682151 is a prime.

682407 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (682417) 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 23 ways as a sum of consecutive naturals, for example, 5983 + ... + 6095.

It is an arithmetic number, because the mean of its divisors is an integer number (45942).

2⁶⁸²⁴⁰⁷ is an apocalyptic number.

682407 is a deficient number, since it is larger than the sum of its proper divisors (420201).

682407 is a wasteful number, since it uses less digits than its factorization.

It is an anagram of its base 11 representation: 682407 = (426780)₁₁.

682407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 682407 is about 826.0792940148. The cubic root of 682407 is about 88.0402278198.

It can be divided in two parts, 682 and 407, that added together give a square (1089 = 33²).

The spelling of 682407 in words is "six hundred eighty-two thousand, four hundred seven".