1205505 has 48 divisors (see below), whose sum is σ = 2471040. Its totient is φ = 532224.

The previous prime is 1205489. The next prime is 1205513. The reversal of 1205505 is 5055021.

It is not a de Polignac number, because 1205505 - 2⁴ = 1205489 is a prime.

It is a Curzon number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 13501 + ... + 13589.

It is an arithmetic number, because the mean of its divisors is an integer number (51480).

2^1205505 is an apocalyptic number.

1205505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1205505 is an abundant number, since it is smaller than the sum of its proper divisors (1265535).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1205505 is a wasteful number, since it uses less digits than its factorization.

1205505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 250, while the sum is 18.

The square root of 1205505 is about 1097.9549171073. The cubic root of 1205505 is about 106.4281072690.

It can be divided in two parts, 120 and 5505, that added together give a square (5625 = 75²).

The spelling of 1205505 in words is "one million, two hundred five thousand, five hundred five".