686441 has 6 divisors (see below), whose sum is σ = 798570. Its totient is φ = 588336.

The previous prime is 686437. The next prime is 686449. The reversal of 686441 is 144686.

It can be written as a sum of positive squares in only one way, i.e., 648025 + 38416 = 805^2 + 196^2 .

It is not a de Polignac number, because 686441 - 2² = 686437 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (686449) 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 5 ways as a sum of consecutive naturals, for example, 6956 + ... + 7053.

It is an arithmetic number, because the mean of its divisors is an integer number (133095).

2⁶⁸⁶⁴⁴¹ is an apocalyptic number.

It is an amenable number.

686441 is a deficient number, since it is larger than the sum of its proper divisors (112129).

686441 is a wasteful number, since it uses less digits than its factorization.

686441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14023 (or 14016 counting only the distinct ones).

The product of its digits is 4608, while the sum is 29.

The square root of 686441 is about 828.5173504520. The cubic root of 686441 is about 88.2133682601.

The spelling of 686441 in words is "six hundred eighty-six thousand, four hundred forty-one".