684961 has 2 divisors, whose sum is σ = 684962. Its totient is φ = 684960.

The previous prime is 684949. The next prime is 684973. The reversal of 684961 is 169486.

684961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (684949) and next prime (684973).

It can be written as a sum of positive squares in only one way, i.e., 664225 + 20736 = 815^2 + 144^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-684961 is a prime.

It is not a weakly prime, because it can be changed into another prime (687961) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 342480 + 342481.

It is an arithmetic number, because the mean of its divisors is an integer number (342481).

2⁶⁸⁴⁹⁶¹ is an apocalyptic number.

It is an amenable number.

684961 is a deficient number, since it is larger than the sum of its proper divisors (1).

684961 is an equidigital number, since it uses as much as digits as its factorization.

684961 is an evil number, because the sum of its binary digits is even.

The product of its digits is 10368, while the sum is 34.

The square root of 684961 is about 827.6237067653. The cubic root of 684961 is about 88.1499252131.

The spelling of 684961 in words is "six hundred eighty-four thousand, nine hundred sixty-one".