73585937 has 2 divisors, whose sum is σ = 73585938. Its totient is φ = 73585936.

The previous prime is 73585931. The next prime is 73585951. The reversal of 73585937 is 73958537.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 42627841 + 30958096 = 6529^2 + 5564^2 .

It is an emirp because it is prime and its reverse (73958537) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 73585937 - 2¹⁶ = 73520401 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 73585891 and 73585900.

It is not a weakly prime, because it can be changed into another prime (73585931) 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, 36792968 + 36792969.

It is an arithmetic number, because the mean of its divisors is an integer number (36792969).

Almost surely, 2^73585937 is an apocalyptic number.

It is an amenable number.

73585937 is a deficient number, since it is larger than the sum of its proper divisors (1).

73585937 is an equidigital number, since it uses as much as digits as its factorization.

73585937 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 793800, while the sum is 47.

The square root of 73585937 is about 8578.2245832107. The cubic root of 73585937 is about 419.0491281587.

The spelling of 73585937 in words is "seventy-three million, five hundred eighty-five thousand, nine hundred thirty-seven".