684113 has 2 divisors, whose sum is σ = 684114. Its totient is φ = 684112.

The previous prime is 684109. The next prime is 684119. The reversal of 684113 is 311486.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 559504 + 124609 = 748^2 + 353^2 .

It is a cyclic number.

It is not a de Polignac number, because 684113 - 2² = 684109 is a prime.

It is not a weakly prime, because it can be changed into another prime (684119) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 342056 + 342057.

It is an arithmetic number, because the mean of its divisors is an integer number (342057).

2⁶⁸⁴¹¹³ is an apocalyptic number.

It is an amenable number.

684113 is a deficient number, since it is larger than the sum of its proper divisors (1).

684113 is an equidigital number, since it uses as much as digits as its factorization.

684113 is an evil number, because the sum of its binary digits is even.

The product of its digits is 576, while the sum is 23.

The square root of 684113 is about 827.1112379843. Note that the first 3 decimals coincide. The cubic root of 684113 is about 88.1135328707.

Adding to 684113 its reverse (311486), we get a palindrome (995599).

It can be divided in two parts, 684 and 113, that added together give a palindrome (797).

The spelling of 684113 in words is "six hundred eighty-four thousand, one hundred thirteen".