34317 has 16 divisors (see below), whose sum is σ = 53760. Its totient is φ = 21600.

The previous prime is 34313. The next prime is 34319. The reversal of 34317 is 71343.

It is not a de Polignac number, because 34317 - 2² = 34313 is a prime.

It is a Smith number, since the sum of its digits (18) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 34317.

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 34317.

It is not an unprimeable number, because it can be changed into a prime (34313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 817 + ... + 857.

It is an arithmetic number, because the mean of its divisors is an integer number (3360).

2³⁴³¹⁷ is an apocalyptic number.

34317 is the 93-rd decagonal number.

It is an amenable number.

34317 is a deficient number, since it is larger than the sum of its proper divisors (19443).

34317 is a wasteful number, since it uses less digits than its factorization.

34317 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 75 counting only the distinct ones).

The product of its digits is 252, while the sum is 18.

The square root of 34317 is about 185.2484817752. The cubic root of 34317 is about 32.4964887725.

It can be divided in two parts, 34 and 317, that added together give a triangular number (351 = T₂₆).

The spelling of 34317 in words is "thirty-four thousand, three hundred seventeen".