126001 has 2 divisors, whose sum is σ = 126002. Its totient is φ = 126000.

The previous prime is 125963. The next prime is 126011. The reversal of 126001 is 100621.

It is an a-pointer prime, because the next prime (126011) can be obtained adding 126001 to its sum of digits (10).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 104976 + 21025 = 324^2 + 145^2 .

It is an emirp because it is prime and its reverse (100621) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 126001 - 2¹¹ = 123953 is a prime.

It is not a weakly prime, because it can be changed into another prime (126011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 63000 + 63001.

It is an arithmetic number, because the mean of its divisors is an integer number (63001).

2¹²⁶⁰⁰¹ is an apocalyptic number.

126001 is the 225-th centered pentagonal number.

It is an amenable number.

126001 is a deficient number, since it is larger than the sum of its proper divisors (1).

126001 is an equidigital number, since it uses as much as digits as its factorization.

126001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 126001 is about 354.9661955736. The cubic root of 126001 is about 50.1331119762.

Adding to 126001 its reverse (100621), we get a palindrome (226622).

The spelling of 126001 in words is "one hundred twenty-six thousand, one".