73005313 has 2 divisors, whose sum is σ = 73005314. Its totient is φ = 73005312.

The previous prime is 73005311. The next prime is 73005323. The reversal of 73005313 is 31350037.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 72029169 + 976144 = 8487^2 + 988^2 .

It is a cyclic number.

It is not a de Polignac number, because 73005313 - 2¹ = 73005311 is a prime.

Together with 73005311, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (73005311) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36502656 + 36502657.

It is an arithmetic number, because the mean of its divisors is an integer number (36502657).

Almost surely, 2^73005313 is an apocalyptic number.

It is an amenable number.

73005313 is a deficient number, since it is larger than the sum of its proper divisors (1).

73005313 is an equidigital number, since it uses as much as digits as its factorization.

73005313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 945, while the sum is 22.

The square root of 73005313 is about 8544.3146594680. The cubic root of 73005313 is about 417.9440585835.

The spelling of 73005313 in words is "seventy-three million, five thousand, three hundred thirteen".