102017 has 6 divisors (see below), whose sum is σ = 108678. Its totient is φ = 95744.

The previous prime is 102013. The next prime is 102019. The reversal of 102017 is 710201.

102017 is nontrivially palindromic in base 16.

It can be written as a sum of positive squares in 3 ways, for example, as 36481 + 65536 = 191^2 + 256^2 .

It is not a de Polignac number, because 102017 - 2² = 102013 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101989 and 102007.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 102017.

It is not an unprimeable number, because it can be changed into a prime (102013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 113 + ... + 465.

It is an arithmetic number, because the mean of its divisors is an integer number (18113).

2¹⁰²⁰¹⁷ is an apocalyptic number.

102017 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

102017 is a deficient number, since it is larger than the sum of its proper divisors (6661).

102017 is an equidigital number, since it uses as much as digits as its factorization.

102017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 14, while the sum is 11.

The square root of 102017 is about 319.4010018770. The cubic root of 102017 is about 46.7258828775.

Adding to 102017 its reverse (710201), we get a palindrome (812218).

The spelling of 102017 in words is "one hundred two thousand, seventeen", and thus it is an iban number.