83217 has 4 divisors (see below), whose sum is σ = 110960. Its totient is φ = 55476.

The previous prime is 83207. The next prime is 83219. The reversal of 83217 is 71238.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 83217 - 2⁷ = 83089 is a prime.

It is a D-number.

It is a Duffinian number.

It is a plaindrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 83193 and 83202.

It is not an unprimeable number, because it can be changed into a prime (83219) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13867 + ... + 13872.

It is an arithmetic number, because the mean of its divisors is an integer number (27740).

2⁸³²¹⁷ is an apocalyptic number.

It is an amenable number.

83217 is a deficient number, since it is larger than the sum of its proper divisors (27743).

83217 is a wasteful number, since it uses less digits than its factorization.

83217 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27742.

The product of its digits is 336, while the sum is 21.

The square root of 83217 is about 288.4735689799. The cubic root of 83217 is about 43.6586884660.

Adding to 83217 its sum of digits (21), we get a palindrome (83238).

It can be divided in two parts, 83 and 217, that added together give a triangular number (300 = T₂₄).

The spelling of 83217 in words is "eighty-three thousand, two hundred seventeen".