685707 has 12 divisors (see below), whose sum is σ = 1005480. Its totient is φ = 415360.

The previous prime is 685697. The next prime is 685717. The reversal of 685707 is 707586.

It is an interprime number because it is at equal distance from previous prime (685697) and next prime (685717).

It is not a de Polignac number, because 685707 - 2¹⁰ = 684683 is a prime.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

685707 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (685717) 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 11 ways as a sum of consecutive naturals, for example, 582 + ... + 1307.

It is an arithmetic number, because the mean of its divisors is an integer number (83790).

2⁶⁸⁵⁷⁰⁷ is an apocalyptic number.

685707 is a deficient number, since it is larger than the sum of its proper divisors (319773).

685707 is a wasteful number, since it uses less digits than its factorization.

685707 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1914 (or 1903 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 33.

The square root of 685707 is about 828.0742720312. The cubic root of 685707 is about 88.1819153485.

It can be divided in two parts, 68 and 5707, that added together give a palindrome (5775).

The spelling of 685707 in words is "six hundred eighty-five thousand, seven hundred seven".