73585009 has 2 divisors, whose sum is σ = 73585010. Its totient is φ = 73585008.

The previous prime is 73585003. The next prime is 73585013. The reversal of 73585009 is 90058537.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 69472225 + 4112784 = 8335^2 + 2028^2 .

It is a cyclic number.

It is not a de Polignac number, because 73585009 - 2⁷ = 73584881 is a prime.

It is not a weakly prime, because it can be changed into another prime (73585003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36792504 + 36792505.

It is an arithmetic number, because the mean of its divisors is an integer number (36792505).

Almost surely, 2^73585009 is an apocalyptic number.

It is an amenable number.

73585009 is a deficient number, since it is larger than the sum of its proper divisors (1).

73585009 is an equidigital number, since it uses as much as digits as its factorization.

73585009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 37800, while the sum is 37.

The square root of 73585009 is about 8578.1704925934. The cubic root of 73585009 is about 419.0473665937.

The spelling of 73585009 in words is "seventy-three million, five hundred eighty-five thousand, nine".