117009 has 6 divisors (see below), whose sum is σ = 169026. Its totient is φ = 78000.

The previous prime is 116993. The next prime is 117017. The reversal of 117009 is 900711.

It can be written as a sum of positive squares in only one way, i.e., 65025 + 51984 = 255^2 + 228^2 .

It is not a de Polignac number, because 117009 - 2⁴ = 116993 is a prime.

It is a super-2 number, since 2×117009² = 27382212162, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 116982 and 117000.

It is not an unprimeable number, because it can be changed into a prime (117109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6492 + ... + 6509.

It is an arithmetic number, because the mean of its divisors is an integer number (28171).

2¹¹⁷⁰⁰⁹ is an apocalyptic number.

It is an amenable number.

117009 is a deficient number, since it is larger than the sum of its proper divisors (52017).

117009 is a wasteful number, since it uses less digits than its factorization.

117009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13007 (or 13004 counting only the distinct ones).

The product of its (nonzero) digits is 63, while the sum is 18.

The square root of 117009 is about 342.0657831470. The cubic root of 117009 is about 48.9109865286.

The spelling of 117009 in words is "one hundred seventeen thousand, nine".