73085581 has 2 divisors, whose sum is σ = 73085582. Its totient is φ = 73085580.

The previous prime is 73085563. The next prime is 73085587. The reversal of 73085581 is 18558037.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 72948681 + 136900 = 8541^2 + 370^2 .

It is a cyclic number.

It is not a de Polignac number, because 73085581 - 2⁵ = 73085549 is a prime.

It is a super-2 number, since 2×73085581² = 10683004300215122, which contains 22 as substring.

It is a Chen prime.

It is equal to p_4288816 and since 73085581 and 4288816 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number n which added to its sum of digits gives 73085581.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (73085587) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36542790 + 36542791.

It is an arithmetic number, because the mean of its divisors is an integer number (36542791).

Almost surely, 2^73085581 is an apocalyptic number.

It is an amenable number.

73085581 is a deficient number, since it is larger than the sum of its proper divisors (1).

73085581 is an equidigital number, since it uses as much as digits as its factorization.

73085581 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 33600, while the sum is 37.

The square root of 73085581 is about 8549.0105275406. The cubic root of 73085581 is about 418.0971764177.

The spelling of 73085581 in words is "seventy-three million, eighty-five thousand, five hundred eighty-one".