126757 has 2 divisors, whose sum is σ = 126758. Its totient is φ = 126756.

The previous prime is 126751. The next prime is 126761. The reversal of 126757 is 757621.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 103041 + 23716 = 321^2 + 154^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-126757 is a prime.

It is an Ulam number.

It is a pancake number, because a pancake can be divided into 126757 parts by 503 straight cuts.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (126751) 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, 63378 + 63379.

It is an arithmetic number, because the mean of its divisors is an integer number (63379).

2¹²⁶⁷⁵⁷ is an apocalyptic number.

It is an amenable number.

126757 is a deficient number, since it is larger than the sum of its proper divisors (1).

126757 is an equidigital number, since it uses as much as digits as its factorization.

126757 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2940, while the sum is 28.

The square root of 126757 is about 356.0294931603. The cubic root of 126757 is about 50.2331775409.

The spelling of 126757 in words is "one hundred twenty-six thousand, seven hundred fifty-seven".