126320641 has 2 divisors, whose sum is σ = 126320642. Its totient is φ = 126320640.

The previous prime is 126320609. The next prime is 126320653. The reversal of 126320641 is 146023621.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 125350416 + 970225 = 11196^2 + 985^2 .

It is a cyclic number.

It is not a de Polignac number, because 126320641 - 2⁵ = 126320609 is a prime.

It is equal to p_7181035 and since 126320641 and 7181035 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (126320671) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 63160320 + 63160321.

It is an arithmetic number, because the mean of its divisors is an integer number (63160321).

It is a Proth number, since it is equal to 3855 ⋅ 2¹⁵ + 1 and 3855 < 2¹⁵.

Almost surely, 2^126320641 is an apocalyptic number.

It is an amenable number.

126320641 is a deficient number, since it is larger than the sum of its proper divisors (1).

126320641 is an equidigital number, since it uses as much as digits as its factorization.

126320641 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 126320641 is about 11239.2455707667. The cubic root of 126320641 is about 501.7546895921.

It can be divided in two parts, 1263 and 20641, that added together give a square (21904 = 148²).

The spelling of 126320641 in words is "one hundred twenty-six million, three hundred twenty thousand, six hundred forty-one".