102817 has 8 divisors (see below), whose sum is σ = 120960. Its totient is φ = 86160.

The previous prime is 102811. The next prime is 102829. The reversal of 102817 is 718201.

102817 = 39² + 40² + ... + 71².

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 102817 - 2¹¹ = 100769 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102794 and 102803.

It is not an unprimeable number, because it can be changed into a prime (102811) 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 7 ways as a sum of consecutive naturals, for example, 217 + ... + 502.

It is an arithmetic number, because the mean of its divisors is an integer number (15120).

2¹⁰²⁸¹⁷ is an apocalyptic number.

It is an amenable number.

102817 is a deficient number, since it is larger than the sum of its proper divisors (18143).

102817 is a wasteful number, since it uses less digits than its factorization.

102817 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743.

The product of its (nonzero) digits is 112, while the sum is 19.

The square root of 102817 is about 320.6509005133. The cubic root of 102817 is about 46.8477038117.

It can be divided in two parts, 102 and 817, that added together give a palindrome (919).

The spelling of 102817 in words is "one hundred two thousand, eight hundred seventeen".