126601 has 2 divisors, whose sum is σ = 126602. Its totient is φ = 126600.

The previous prime is 126583. The next prime is 126611. The reversal of 126601 is 106621.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 126025 + 576 = 355^2 + 24^2 .

It is an emirp because it is prime and its reverse (106621) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 126601 - 2⁷ = 126473 is a prime.

It is not a weakly prime, because it can be changed into another prime (126611) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 63300 + 63301.

It is an arithmetic number, because the mean of its divisors is an integer number (63301).

2¹²⁶⁶⁰¹ is an apocalyptic number.

It is an amenable number.

126601 is a deficient number, since it is larger than the sum of its proper divisors (1).

126601 is an equidigital number, since it uses as much as digits as its factorization.

126601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 126601 is about 355.8103427389. The cubic root of 126601 is about 50.2125617363.

It can be divided in two parts, 126 and 601, that added together give a palindrome (727).

The spelling of 126601 in words is "one hundred twenty-six thousand, six hundred one".