84117 has 8 divisors (see below), whose sum is σ = 122400. Its totient is φ = 50960.

The previous prime is 84089. The next prime is 84121. The reversal of 84117 is 71148.

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 84117 - 2⁶ = 84053 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 84093 and 84102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84127) 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, 1242 + ... + 1307.

It is an arithmetic number, because the mean of its divisors is an integer number (15300).

2⁸⁴¹¹⁷ is an apocalyptic number.

It is an amenable number.

84117 is a deficient number, since it is larger than the sum of its proper divisors (38283).

84117 is a wasteful number, since it uses less digits than its factorization.

84117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2563.

The product of its digits is 224, while the sum is 21.

The square root of 84117 is about 290.0293088638. The cubic root of 84117 is about 43.8155154474.

It can be divided in two parts, 841 and 17, that added together give a palindrome (858).

The spelling of 84117 in words is "eighty-four thousand, one hundred seventeen".