83117 has 2 divisors, whose sum is σ = 83118. Its totient is φ = 83116.
The previous prime is 83101. The next prime is 83137. The reversal of 83117 is 71138.
It is an a-pointer prime, because the next prime (83137) can be obtained adding 83117 to its sum of digits (20).
It is a weak prime.
It can be written as a sum of positive squares in only one way, i.e., 51076 + 32041 = 226^2 + 179^2 .
It is a cyclic number.
It is not a de Polignac number, because 83117 - 24 = 83101 is a prime.
It is a Chen prime.
It is a plaindrome in base 16.
It is a congruent number.
It is not a weakly prime, because it can be changed into another prime (83137) by changing a digit.
It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41558 + 41559.
It is an arithmetic number, because the mean of its divisors is an integer number (41559).
283117 is an apocalyptic number.
It is an amenable number.
83117 is a deficient number, since it is larger than the sum of its proper divisors (1).
83117 is an equidigital number, since it uses as much as digits as its factorization.
83117 is an evil number, because the sum of its binary digits is even.
The product of its digits is 168, while the sum is 20.
The square root of 83117 is about 288.3001907734. The cubic root of 83117 is about 43.6411935679.
It can be divided in two parts, 831 and 17, that added together give a palindrome (848).
The spelling of 83117 in words is "eighty-three thousand, one hundred seventeen".
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