685413 has 6 divisors (see below), whose sum is σ = 990054. Its totient is φ = 456936.

The previous prime is 685393. The next prime is 685417. The reversal of 685413 is 314586.

It can be written as a sum of positive squares in only one way, i.e., 471969 + 213444 = 687^2 + 462^2 .

It is not a de Polignac number, because 685413 - 2⁵ = 685381 is a prime.

685413 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (685417) 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, 38070 + ... + 38087.

It is an arithmetic number, because the mean of its divisors is an integer number (165009).

2⁶⁸⁵⁴¹³ is an apocalyptic number.

It is an amenable number.

685413 is a deficient number, since it is larger than the sum of its proper divisors (304641).

685413 is a wasteful number, since it uses less digits than its factorization.

685413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76163 (or 76160 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 685413 is about 827.8967326907. The cubic root of 685413 is about 88.1693107476.

Adding to 685413 its reverse (314586), we get a palindrome (999999).

The spelling of 685413 in words is "six hundred eighty-five thousand, four hundred thirteen".