6205 has 8 divisors (see below), whose sum is σ = 7992. Its totient is φ = 4608.

The previous prime is 6203. The next prime is 6211. The reversal of 6205 is 5026.

It can be written as a sum of positive squares in 4 ways, for example, as 1444 + 4761 = 38^2 + 69^2 .

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

It is a 5-Lehmer number, since φ(6205) divides (6205-1)⁵.

It is a cyclic number.

It is not a de Polignac number, because 6205 - 2¹ = 6203 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6203) 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, 49 + ... + 121.

It is an arithmetic number, because the mean of its divisors is an integer number (999).

2⁶²⁰⁵ is an apocalyptic number.

It is an amenable number.

6205 is a deficient number, since it is larger than the sum of its proper divisors (1787).

6205 is a wasteful number, since it uses less digits than its factorization.

6205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95.

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 6205 is about 78.7718223732. The cubic root of 6205 is about 18.3758425887.

It can be divided in two parts, 620 and 5, that added together give a 4-th power (625 = 5⁴).

The spelling of 6205 in words is "six thousand, two hundred five".