900727009 has 16 divisors (see below), whose sum is σ = 1110083968. Its totient is φ = 711700992.

The previous prime is 900727007. The next prime is 900727019.

900727009 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 900727009 - 2¹ = 900727007 is a prime.

It is a super-2 number, since 2×900727009² = 1622618289484172162, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (900727007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65329 + ... + 77905.

It is an arithmetic number, because the mean of its divisors is an integer number (69380248).

Almost surely, 2^900727009 is an apocalyptic number.

It is an amenable number.

900727009 is a deficient number, since it is larger than the sum of its proper divisors (209356959).

900727009 is a wasteful number, since it uses less digits than its factorization.

900727009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13384.

The product of its (nonzero) digits is 7938, while the sum is 34.

The square root of 900727009 is about 30012.1143707004. The cubic root of 900727009 is about 965.7492848116.

The spelling of 900727009 in words is "nine hundred million, seven hundred twenty-seven thousand, nine".