126653 has 2 divisors, whose sum is σ = 126654. Its totient is φ = 126652.

The previous prime is 126641. The next prime is 126683. The reversal of 126653 is 356621.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 85849 + 40804 = 293^2 + 202^2 .

It is an emirp because it is prime and its reverse (356621) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 126653 - 2⁸ = 126397 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is equal to p₁₁₈₇₆ and since 126653 and 11876 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

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 (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 63326 + 63327.

It is an arithmetic number, because the mean of its divisors is an integer number (63327).

2¹²⁶⁶⁵³ is an apocalyptic number.

It is an amenable number.

126653 is a deficient number, since it is larger than the sum of its proper divisors (1).

126653 is an equidigital number, since it uses as much as digits as its factorization.

126653 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1080, while the sum is 23.

The square root of 126653 is about 355.8834078740. The cubic root of 126653 is about 50.2194355519.

The spelling of 126653 in words is "one hundred twenty-six thousand, six hundred fifty-three".