52205 has 8 divisors (see below), whose sum is σ = 64152. Its totient is φ = 40768.

The previous prime is 52201. The next prime is 52223. The reversal of 52205 is 50225.

52205 = T₁₄₂ + T₁₄₃ + ... + T₁₄₆.

It can be written as a sum of positive squares in 4 ways, for example, as 24649 + 27556 = 157^2 + 166^2 .

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 52205 - 2² = 52201 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 52205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 167 + ... + 363.

It is an arithmetic number, because the mean of its divisors is an integer number (8019).

2⁵²²⁰⁵ is an apocalyptic number.

It is an amenable number.

52205 is a deficient number, since it is larger than the sum of its proper divisors (11947).

52205 is a wasteful number, since it uses less digits than its factorization.

52205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255.

The product of its (nonzero) digits is 100, while the sum is 14.

The square root of 52205 is about 228.4841351166. The cubic root of 52205 is about 37.3740962783.

It can be divided in two parts, 5220 and 5, that added together give a palindrome (5225).

The spelling of 52205 in words is "fifty-two thousand, two hundred five".