73066993 has 2 divisors, whose sum is σ = 73066994. Its totient is φ = 73066992.

The previous prime is 73066967. The next prime is 73067041. The reversal of 73066993 is 39966037.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 72880369 + 186624 = 8537^2 + 432^2 .

It is a cyclic number.

It is not a de Polignac number, because 73066993 - 2⁹ = 73066481 is a prime.

It is equal to p_4287778 and since 73066993 and 4287778 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (73066093) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36533496 + 36533497.

It is an arithmetic number, because the mean of its divisors is an integer number (36533497).

Almost surely, 2^73066993 is an apocalyptic number.

It is an amenable number.

73066993 is a deficient number, since it is larger than the sum of its proper divisors (1).

73066993 is an equidigital number, since it uses as much as digits as its factorization.

73066993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 183708, while the sum is 43.

The square root of 73066993 is about 8547.9233150514. The cubic root of 73066993 is about 418.0617282525.

The spelling of 73066993 in words is "seventy-three million, sixty-six thousand, nine hundred ninety-three".