686313 has 20 divisors (see below), whose sum is σ = 1057540. Its totient is φ = 443232.

The previous prime is 686293. The next prime is 686317. The reversal of 686313 is 313686.

It can be written as a sum of positive squares in 2 ways, for example, as 627264 + 59049 = 792^2 + 243^2 .

It is not a de Polignac number, because 686313 - 2⁸ = 686057 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a Curzon number.

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (686317) 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 19 ways as a sum of consecutive naturals, for example, 2883 + ... + 3111.

It is an arithmetic number, because the mean of its divisors is an integer number (52877).

2⁶⁸⁶³¹³ is an apocalyptic number.

It is an amenable number.

686313 is a deficient number, since it is larger than the sum of its proper divisors (371227).

686313 is a wasteful number, since it uses less digits than its factorization.

686313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 269 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 686313 is about 828.4401004297. The cubic root of 686313 is about 88.2078848983.

Adding to 686313 its reverse (313686), we get a palindrome (999999).

It can be divided in two parts, 686 and 313, that added together give a palindrome (999).

The spelling of 686313 in words is "six hundred eighty-six thousand, three hundred thirteen".