682137 has 6 divisors (see below), whose sum is σ = 985322. Its totient is φ = 454752.

The previous prime is 682079. The next prime is 682141. The reversal of 682137 is 731286.

It can be written as a sum of positive squares in only one way, i.e., 646416 + 35721 = 804^2 + 189^2 .

It is not a de Polignac number, because 682137 - 2⁷ = 682009 is a prime.

It is a Duffinian number.

682137 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 682137.

It is not an unprimeable number, because it can be changed into a prime (682147) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 37888 + ... + 37905.

2⁶⁸²¹³⁷ is an apocalyptic number.

It is an amenable number.

682137 is a deficient number, since it is larger than the sum of its proper divisors (303185).

682137 is a wasteful number, since it uses less digits than its factorization.

682137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75799 (or 75796 counting only the distinct ones).

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

The square root of 682137 is about 825.9158552782. The cubic root of 682137 is about 88.0286150055.

The spelling of 682137 in words is "six hundred eighty-two thousand, one hundred thirty-seven".