126857 has 2 divisors, whose sum is σ = 126858. Its totient is φ = 126856.

The previous prime is 126851. The next prime is 126859. The reversal of 126857 is 758621.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 126736 + 121 = 356^2 + 11^2 .

It is a cyclic number.

It is not a de Polignac number, because 126857 - 2⁸ = 126601 is a prime.

Together with 126859, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (126851) 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, 63428 + 63429.

It is an arithmetic number, because the mean of its divisors is an integer number (63429).

2¹²⁶⁸⁵⁷ is an apocalyptic number.

It is an amenable number.

126857 is a deficient number, since it is larger than the sum of its proper divisors (1).

126857 is an equidigital number, since it uses as much as digits as its factorization.

126857 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3360, while the sum is 29.

The square root of 126857 is about 356.1699032765. The cubic root of 126857 is about 50.2463839052.

The spelling of 126857 in words is "one hundred twenty-six thousand, eight hundred fifty-seven".