9008109 has 24 divisors (see below), whose sum is σ = 14944800. Its totient is φ = 5171040.

The previous prime is 9008101. The next prime is 9008117. The reversal of 9008109 is 9018009.

It is an interprime number because it is at equal distance from previous prime (9008101) and next prime (9008117).

It is not a de Polignac number, because 9008109 - 2³ = 9008101 is a prime.

It is a super-2 number, since 2×9008109² = 162292055511762, which contains 22 as substring.

9008109 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9008101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 514 + ... + 4275.

It is an arithmetic number, because the mean of its divisors is an integer number (622700).

Almost surely, 2^9008109 is an apocalyptic number.

9008109 is a gapful number since it is divisible by the number (99) formed by its first and last digit.

It is an amenable number.

9008109 is a deficient number, since it is larger than the sum of its proper divisors (5936691).

9008109 is a wasteful number, since it uses less digits than its factorization.

9008109 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4825 (or 4822 counting only the distinct ones).

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

The square root of 9008109 is about 3001.3511957117. The cubic root of 9008109 is about 208.0708354030.

It can be divided in two parts, 900 and 8109, that added together give a palindrome (9009).

The spelling of 9008109 in words is "nine million, eight thousand, one hundred nine".