1305205 has 16 divisors (see below), whose sum is σ = 1800000. Its totient is φ = 898560.

The previous prime is 1305169. The next prime is 1305229. The reversal of 1305205 is 5025031.

It is not a de Polignac number, because 1305205 - 2¹³ = 1297013 is a prime.

1305205 is a lucky number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 421 + ... + 1669.

It is an arithmetic number, because the mean of its divisors is an integer number (112500).

2^1305205 is an apocalyptic number.

It is an amenable number.

1305205 is a deficient number, since it is larger than the sum of its proper divisors (494795).

1305205 is a wasteful number, since it uses less digits than its factorization.

1305205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1284.

The product of its (nonzero) digits is 150, while the sum is 16.

The square root of 1305205 is about 1142.4556884186. The cubic root of 1305205 is about 109.2847533119.

It can be divided in two parts, 130 and 5205, that added together give a palindrome (5335).

The spelling of 1305205 in words is "one million, three hundred five thousand, two hundred five".