126611 has 2 divisors, whose sum is σ = 126612. Its totient is φ = 126610.

The previous prime is 126601. The next prime is 126613. The reversal of 126611 is 116621.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 126611 - 2⁶ = 126547 is a prime.

Together with 126613, it forms a pair of twin primes.

It is a Chen prime.

It is an Ulam number.

It is a plaindrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 126611.

It is not a weakly prime, because it can be changed into another prime (126613) 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, 63305 + 63306.

It is an arithmetic number, because the mean of its divisors is an integer number (63306).

2¹²⁶⁶¹¹ is an apocalyptic number.

126611 is a deficient number, since it is larger than the sum of its proper divisors (1).

126611 is an equidigital number, since it uses as much as digits as its factorization.

126611 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 72, while the sum is 17.

The square root of 126611 is about 355.8243948916. The cubic root of 126611 is about 50.2138837701.

It can be divided in two parts, 126 and 611, that added together give a palindrome (737).

The spelling of 126611 in words is "one hundred twenty-six thousand, six hundred eleven".