84205 has 8 divisors (see below), whose sum is σ = 110304. Its totient is φ = 61200.

The previous prime is 84199. The next prime is 84211. The reversal of 84205 is 50248.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (84199) and next prime (84211).

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

It is not a de Polignac number, because 84205 - 2¹⁵ = 51437 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 711 + ... + 820.

It is an arithmetic number, because the mean of its divisors is an integer number (13788).

2⁸⁴²⁰⁵ is an apocalyptic number.

It is an amenable number.

84205 is a deficient number, since it is larger than the sum of its proper divisors (26099).

84205 is a wasteful number, since it uses less digits than its factorization.

84205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1547.

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 84205 is about 290.1809780120. The cubic root of 84205 is about 43.8307894964.

It can be divided in two parts, 84 and 205, that added together give a square (289 = 17²).

The spelling of 84205 in words is "eighty-four thousand, two hundred five".