126307033 has 2 divisors, whose sum is σ = 126307034. Its totient is φ = 126307032.

The previous prime is 126306997. The next prime is 126307037. The reversal of 126307033 is 330703621.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 126270169 + 36864 = 11237^2 + 192^2 .

It is a cyclic number.

It is not a de Polignac number, because 126307033 - 2¹⁷ = 126175961 is a prime.

It is equal to p_7180324 and since 126307033 and 7180324 have the same sum of digits, it is a Honaker prime.

It is a junction number, because it is equal to n+sod(n) for n = 126306989 and 126307007.

It is not a weakly prime, because it can be changed into another prime (126307037) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 63153516 + 63153517.

It is an arithmetic number, because the mean of its divisors is an integer number (63153517).

Almost surely, 2^126307033 is an apocalyptic number.

It is an amenable number.

126307033 is a deficient number, since it is larger than the sum of its proper divisors (1).

126307033 is an equidigital number, since it uses as much as digits as its factorization.

126307033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2268, while the sum is 25.

The square root of 126307033 is about 11238.6401757508. The cubic root of 126307033 is about 501.7366716262.

The spelling of 126307033 in words is "one hundred twenty-six million, three hundred seven thousand, thirty-three".