1205 has 4 divisors (see below), whose sum is σ = 1452. Its totient is φ = 960.

The previous prime is 1201. The next prime is 1213. The reversal of 1205 is 5021.

1205 is nontrivially palindromic in base 15.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 676 + 529 = 26^2 + 23^2 .

It is not a de Polignac number, because 1205 - 2² = 1201 is a prime.

It is a Duffinian number.

It is a Curzon number.

1205 is a nontrivial repdigit in base 15.

It is a plaindrome in base 9 and base 15.

It is a nialpdrome in base 14 and base 15.

It is a zygodrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 1192 and 1201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1201) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 116 + ... + 125.

It is an arithmetic number, because the mean of its divisors is an integer number (363).

It is an amenable number.

1205 is a deficient number, since it is larger than the sum of its proper divisors (247).

1205 is an equidigital number, since it uses as much as digits as its factorization.

1205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246.

The product of its (nonzero) digits is 10, while the sum is 8.

The square root of 1205 is about 34.7131099154. The cubic root of 1205 is about 10.6413243871.

Adding to 1205 its reverse (5021), we get a palindrome (6226).

It can be divided in two parts, 120 and 5, that added together give a cube (125 = 5³).

The spelling of 1205 in words is "one thousand, two hundred five".