83317 has 12 divisors (see below), whose sum is σ = 98820. Its totient is φ = 69888.

The previous prime is 83311. The next prime is 83339. The reversal of 83317 is 71338.

It can be written as a sum of positive squares in 6 ways, for example, as 4356 + 78961 = 66^2 + 281^2 .

It is not a de Polignac number, because 83317 - 2¹⁵ = 50549 is a prime.

It is a Duffinian number.

Its product of digits (504) is a multiple of the sum of its prime factors (72).

83317 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83311) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2859 + ... + 2887.

It is an arithmetic number, because the mean of its divisors is an integer number (8235).

2⁸³³¹⁷ is an apocalyptic number.

It is an amenable number.

83317 is a deficient number, since it is larger than the sum of its proper divisors (15503).

83317 is a wasteful number, since it uses less digits than its factorization.

83317 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 59 counting only the distinct ones).

The product of its digits is 504, while the sum is 22.

The square root of 83317 is about 288.6468430453. The cubic root of 83317 is about 43.6761693542.

It can be divided in two parts, 8331 and 7, that added together give a palindrome (8338).

The spelling of 83317 in words is "eighty-three thousand, three hundred seventeen".