684013 has 6 divisors (see below), whose sum is σ = 751982. Its totient is φ = 621720.

The previous prime is 684007. The next prime is 684017. The reversal of 684013 is 310486.

It can be written as a sum of positive squares in only one way, i.e., 644809 + 39204 = 803^2 + 198^2 .

It is a de Polignac number, because none of the positive numbers 2^k-684013 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (684017) 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, 2706 + ... + 2947.

2⁶⁸⁴⁰¹³ is an apocalyptic number.

It is an amenable number.

684013 is a deficient number, since it is larger than the sum of its proper divisors (67969).

684013 is a wasteful number, since it uses less digits than its factorization.

684013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5675 (or 5664 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 684013 is about 827.0507844141. The cubic root of 684013 is about 88.1092393390.

Adding to 684013 its reverse (310486), we get a palindrome (994499).

The spelling of 684013 in words is "six hundred eighty-four thousand, thirteen".