685057 has 2 divisors, whose sum is σ = 685058. Its totient is φ = 685056.

The previous prime is 685051. The next prime is 685063. The reversal of 685057 is 750586.

It is a balanced prime because it is at equal distance from previous prime (685051) and next prime (685063).

It can be written as a sum of positive squares in only one way, i.e., 638401 + 46656 = 799^2 + 216^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-685057 is a prime.

It is a Chen prime.

It is an Ulam number.

It is not a weakly prime, because it can be changed into another prime (685051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 342528 + 342529.

It is an arithmetic number, because the mean of its divisors is an integer number (342529).

It is a Proth number, since it is equal to 669 ⋅ 2¹⁰ + 1 and 669 < 2¹⁰.

2⁶⁸⁵⁰⁵⁷ is an apocalyptic number.

It is an amenable number.

685057 is a deficient number, since it is larger than the sum of its proper divisors (1).

685057 is an equidigital number, since it uses as much as digits as its factorization.

685057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8400, while the sum is 31.

The square root of 685057 is about 827.6817021053. The cubic root of 685057 is about 88.1540432079.

The spelling of 685057 in words is "six hundred eighty-five thousand, fifty-seven".