126541 has 2 divisors, whose sum is σ = 126542. Its totient is φ = 126540.

The previous prime is 126517. The next prime is 126547. The reversal of 126541 is 145621.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 125316 + 1225 = 354^2 + 35^2 .

It is a cyclic number.

It is not a de Polignac number, because 126541 - 2¹¹ = 124493 is a prime.

It is a Chen prime.

126541 is a lucky number.

It is a plaindrome in base 13.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (126547) 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, 63270 + 63271.

It is an arithmetic number, because the mean of its divisors is an integer number (63271).

2¹²⁶⁵⁴¹ is an apocalyptic number.

It is an amenable number.

126541 is a deficient number, since it is larger than the sum of its proper divisors (1).

126541 is an equidigital number, since it uses as much as digits as its factorization.

126541 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 240, while the sum is 19.

The square root of 126541 is about 355.7260181657. The cubic root of 126541 is about 50.2046280713.

The spelling of 126541 in words is "one hundred twenty-six thousand, five hundred forty-one".