84017 has 2 divisors, whose sum is σ = 84018. Its totient is φ = 84016.

The previous prime is 84011. The next prime is 84047. The reversal of 84017 is 71048.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 57121 + 26896 = 239^2 + 164^2 .

It is a cyclic number.

It is not a de Polignac number, because 84017 - 2⁸ = 83761 is a prime.

It is equal to p₈₁₉₂ and since 84017 and 8192 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number n which added to its sum of digits gives 84017.

It is not a weakly prime, because it can be changed into another prime (84011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42008 + 42009.

It is an arithmetic number, because the mean of its divisors is an integer number (42009).

2⁸⁴⁰¹⁷ is an apocalyptic number.

It is an amenable number.

84017 is a deficient number, since it is larger than the sum of its proper divisors (1).

84017 is an equidigital number, since it uses as much as digits as its factorization.

84017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 224, while the sum is 20.

The square root of 84017 is about 289.8568612264. The cubic root of 84017 is about 43.7981456371.

The spelling of 84017 in words is "eighty-four thousand, seventeen".