82017 has 12 divisors (see below), whose sum is σ = 127764. Its totient is φ = 50400.

The previous prime is 82013. The next prime is 82021. The reversal of 82017 is 71028.

It is an interprime number because it is at equal distance from previous prime (82013) and next prime (82021).

It can be written as a sum of positive squares in 2 ways, for example, as 41616 + 40401 = 204^2 + 201^2 .

It is not a de Polignac number, because 82017 - 2² = 82013 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 not an unprimeable number, because it can be changed into a prime (82013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 234 + ... + 467.

It is an arithmetic number, because the mean of its divisors is an integer number (10647).

2⁸²⁰¹⁷ is an apocalyptic number.

82017 is the 234-th pentagonal number.

It is an amenable number.

82017 is a deficient number, since it is larger than the sum of its proper divisors (45747).

82017 is a wasteful number, since it uses less digits than its factorization.

82017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720 (or 717 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 82017 is about 286.3861030148. The cubic root of 82017 is about 43.4478169342.

It can be divided in two parts, 8 and 2017, that added together give a square (2025 = 45²).

The spelling of 82017 in words is "eighty-two thousand, seventeen".