683857 has 2 divisors, whose sum is σ = 683858. Its totient is φ = 683856.

The previous prime is 683843. The next prime is 683861. The reversal of 683857 is 758386.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 553536 + 130321 = 744^2 + 361^2 .

It is a cyclic number.

It is not a de Polignac number, because 683857 - 2¹¹ = 681809 is a prime.

It is not a weakly prime, because it can be changed into another prime (683807) 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 as a sum of consecutive naturals, namely, 341928 + 341929.

It is an arithmetic number, because the mean of its divisors is an integer number (341929).

2⁶⁸³⁸⁵⁷ is an apocalyptic number.

It is an amenable number.

683857 is a deficient number, since it is larger than the sum of its proper divisors (1).

683857 is an equidigital number, since it uses as much as digits as its factorization.

683857 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 40320, while the sum is 37.

The square root of 683857 is about 826.9564680199. The cubic root of 683857 is about 88.1025405938.

Subtracting 683857 from its reverse (758386), we obtain a square (74529 = 273²).

It can be divided in two parts, 683 and 857, that added together give a triangular number (1540 = T₅₅).

The spelling of 683857 in words is "six hundred eighty-three thousand, eight hundred fifty-seven".