5205 has 8 divisors (see below), whose sum is σ = 8352. Its totient is φ = 2768.

The previous prime is 5197. The next prime is 5209. The reversal of 5205 is 5025.

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 5205 - 2³ = 5197 is a prime.

It is a plaindrome in base 16.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 5205.

It is not an unprimeable number, because it can be changed into a prime (5209) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 159 + ... + 188.

It is an arithmetic number, because the mean of its divisors is an integer number (1044).

2⁵²⁰⁵ is an apocalyptic number.

It is an amenable number.

5205 is a deficient number, since it is larger than the sum of its proper divisors (3147).

5205 is a wasteful number, since it uses less digits than its factorization.

5205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355.

The product of its (nonzero) digits is 50, while the sum is 12.

The square root of 5205 is about 72.1456859417. The cubic root of 5205 is about 17.3303331428.

It can be divided in two parts, 520 and 5, that added together give a palindrome (525).

The spelling of 5205 in words is "five thousand, two hundred five".