73305257 has 2 divisors, whose sum is σ = 73305258. Its totient is φ = 73305256.

The previous prime is 73305233. The next prime is 73305263. The reversal of 73305257 is 75250337.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 40081561 + 33223696 = 6331^2 + 5764^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-73305257 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (73305277) 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, 36652628 + 36652629.

It is an arithmetic number, because the mean of its divisors is an integer number (36652629).

Almost surely, 2^73305257 is an apocalyptic number.

It is an amenable number.

73305257 is a deficient number, since it is larger than the sum of its proper divisors (1).

73305257 is an equidigital number, since it uses as much as digits as its factorization.

73305257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 22050, while the sum is 32.

The square root of 73305257 is about 8561.8489241518. The cubic root of 73305257 is about 418.5156540704.

The spelling of 73305257 in words is "seventy-three million, three hundred five thousand, two hundred fifty-seven".