309117 has 8 divisors (see below), whose sum is σ = 415296. Its totient is φ = 204512.

The previous prime is 309109. The next prime is 309121. The reversal of 309117 is 711903.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 309117 - 2³ = 309109 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 309093 and 309102.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 309117.

It is not an unprimeable number, because it can be changed into a prime (309107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 193 + ... + 809.

It is an arithmetic number, because the mean of its divisors is an integer number (51912).

2³⁰⁹¹¹⁷ is an apocalyptic number.

It is an amenable number.

309117 is a deficient number, since it is larger than the sum of its proper divisors (106179).

309117 is a wasteful number, since it uses less digits than its factorization.

309117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 787.

The product of its (nonzero) digits is 189, while the sum is 21.

The square root of 309117 is about 555.9829134065. The cubic root of 309117 is about 67.6146747549.

The spelling of 309117 in words is "three hundred nine thousand, one hundred seventeen".