126641 has 2 divisors, whose sum is σ = 126642. Its totient is φ = 126640.

The previous prime is 126631. The next prime is 126653. The reversal of 126641 is 146621.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 92416 + 34225 = 304^2 + 185^2 .

It is a cyclic number.

It is not a de Polignac number, because 126641 - 2¹⁰ = 125617 is a prime.

It is not a weakly prime, because it can be changed into another prime (126601) 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, 63320 + 63321.

It is an arithmetic number, because the mean of its divisors is an integer number (63321).

2¹²⁶⁶⁴¹ is an apocalyptic number.

It is an amenable number.

126641 is a deficient number, since it is larger than the sum of its proper divisors (1).

126641 is an equidigital number, since it uses as much as digits as its factorization.

126641 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 288, while the sum is 20.

The square root of 126641 is about 355.8665480205. The cubic root of 126641 is about 50.2178494538.

Subtracting from 126641 its sum of digits (20), we obtain a palindrome (126621).

It can be divided in two parts, 126 and 641, that added together give a palindrome (767).

The spelling of 126641 in words is "one hundred twenty-six thousand, six hundred forty-one".