73137833 has 2 divisors, whose sum is σ = 73137834. Its totient is φ = 73137832.

The previous prime is 73137829. The next prime is 73137847. The reversal of 73137833 is 33873137.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 58491904 + 14645929 = 7648^2 + 3827^2 .

It is an emirp because it is prime and its reverse (33873137) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 73137833 - 2² = 73137829 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 73137793 and 73137802.

It is not a weakly prime, because it can be changed into another prime (73137853) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36568916 + 36568917.

It is an arithmetic number, because the mean of its divisors is an integer number (36568917).

Almost surely, 2^73137833 is an apocalyptic number.

It is an amenable number.

73137833 is a deficient number, since it is larger than the sum of its proper divisors (1).

73137833 is an equidigital number, since it uses as much as digits as its factorization.

73137833 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 31752, while the sum is 35.

The square root of 73137833 is about 8552.0660076966. The cubic root of 73137833 is about 418.1967911850.

The spelling of 73137833 in words is "seventy-three million, one hundred thirty-seven thousand, eight hundred thirty-three".