73007833 has 2 divisors, whose sum is σ = 73007834. Its totient is φ = 73007832.

The previous prime is 73007827. The next prime is 73007867. The reversal of 73007833 is 33870037.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 60419529 + 12588304 = 7773^2 + 3548^2 .

It is a cyclic number.

It is not a de Polignac number, because 73007833 - 2⁵ = 73007801 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 73007795 and 73007804.

It is not a weakly prime, because it can be changed into another prime (73007933) 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, 36503916 + 36503917.

It is an arithmetic number, because the mean of its divisors is an integer number (36503917).

Almost surely, 2^73007833 is an apocalyptic number.

It is an amenable number.

73007833 is a deficient number, since it is larger than the sum of its proper divisors (1).

73007833 is an equidigital number, since it uses as much as digits as its factorization.

73007833 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10584, while the sum is 31.

The square root of 73007833 is about 8544.4621246747. The cubic root of 73007833 is about 417.9488673975.

The spelling of 73007833 in words is "seventy-three million, seven thousand, eight hundred thirty-three".