9018009 has 81 divisors (see below), whose sum is σ = 18035199. Its totient is φ = 4324320.

The previous prime is 9017977. The next prime is 9018011. The reversal of 9018009 is 9008109.

9018009 = 1³ + 2³ + ... + 77³.

The square root of 9018009 is 3003.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1334025 + 7683984 = 1155^2 + 2772^2 .

It is not a de Polignac number, because 9018009 - 2⁵ = 9017977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (9018019) 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 80 ways as a sum of consecutive naturals, for example, 693687 + ... + 693699.

Almost surely, 2^9018009 is an apocalyptic number.

9018009 is a gapful number since it is divisible by the number (99) formed by its first and last digit.

9018009 is the 3003-rd square number.

9018009 is the 1502-nd centered octagonal number.

It is an amenable number.

9018009 is a deficient number, since it is larger than the sum of its proper divisors (9017190).

9018009 is a wasteful number, since it uses less digits than its factorization.

9018009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The cubic root of 9018009 is about 208.1470314583.

The spelling of 9018009 in words is "nine million, eighteen thousand, nine".