83017 has 4 divisors (see below), whose sum is σ = 90576. Its totient is φ = 75460.

The previous prime is 83009. The next prime is 83023. The reversal of 83017 is 71038.

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 83017 - 2³ = 83009 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a plaindrome in base 14 and base 16.

It is a junction number, because it is equal to n+sod(n) for n = 82985 and 83003.

It is not an unprimeable number, because it can be changed into a prime (83047) 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, 3763 + ... + 3784.

It is an arithmetic number, because the mean of its divisors is an integer number (22644).

2⁸³⁰¹⁷ is an apocalyptic number.

It is an amenable number.

83017 is a deficient number, since it is larger than the sum of its proper divisors (7559).

83017 is a wasteful number, since it uses less digits than its factorization.

83017 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7558.

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 83017 is about 288.1267082379. The cubic root of 83017 is about 43.6236846318.

It can be divided in two parts, 8 and 3017, that added together give a square (3025 = 55²).

The spelling of 83017 in words is "eighty-three thousand, seventeen".