126761 has 2 divisors, whose sum is σ = 126762. Its totient is φ = 126760.

The previous prime is 126757. The next prime is 126781. The reversal of 126761 is 167621.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 126736 + 25 = 356^2 + 5^2 .

It is an emirp because it is prime and its reverse (167621) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 126761 - 2² = 126757 is a prime.

It is a super-2 number, since 2×126761² = 32136702242, which contains 22 as substring.

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, 63380 + 63381.

It is an arithmetic number, because the mean of its divisors is an integer number (63381).

2¹²⁶⁷⁶¹ is an apocalyptic number.

It is an amenable number.

126761 is a deficient number, since it is larger than the sum of its proper divisors (1).

126761 is an equidigital number, since it uses as much as digits as its factorization.

126761 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 504, while the sum is 23.

The square root of 126761 is about 356.0351106282. The cubic root of 126761 is about 50.2337059288.

It can be divided in two parts, 1 and 26761, that added together give a palindrome (26762).

The spelling of 126761 in words is "one hundred twenty-six thousand, seven hundred sixty-one".