104917 has 2 divisors, whose sum is σ = 104918. Its totient is φ = 104916.

The previous prime is 104911. The next prime is 104933. The reversal of 104917 is 719401.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 64516 + 40401 = 254^2 + 201^2 .

It is a cyclic number.

It is not a de Polignac number, because 104917 - 2⁷ = 104789 is a prime.

It is a super-3 number, since 3×104917³ = 3464645833389639, which contains 333 as substring. Note that it is a super-d number also for d = 2.

104917 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (104911) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52458 + 52459.

It is an arithmetic number, because the mean of its divisors is an integer number (52459).

2¹⁰⁴⁹¹⁷ is an apocalyptic number.

It is an amenable number.

104917 is a deficient number, since it is larger than the sum of its proper divisors (1).

104917 is an equidigital number, since it uses as much as digits as its factorization.

104917 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 252, while the sum is 22.

The square root of 104917 is about 323.9089378205. The cubic root of 104917 is about 47.1645057771.

It can be divided in two parts, 10491 and 7, that multiplied together give a palindrome (73437).

The spelling of 104917 in words is "one hundred four thousand, nine hundred seventeen".