1283205 has 48 divisors (see below), whose sum is σ = 2604672. Its totient is φ = 528000.

The previous prime is 1283179. The next prime is 1283207. The reversal of 1283205 is 5023821.

It is not a de Polignac number, because 1283205 - 2⁵ = 1283173 is a prime.

It is a Smith number, since the sum of its digits (21) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

1283205 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1283207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12655 + ... + 12755.

It is an arithmetic number, because the mean of its divisors is an integer number (54264).

2^1283205 is an apocalyptic number.

1283205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1283205 is an abundant number, since it is smaller than the sum of its proper divisors (1321467).

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

1283205 is a wasteful number, since it uses less digits than its factorization.

1283205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 1283205 is about 1132.7863876301. The cubic root of 1283205 is about 108.6672510957.

It can be divided in two parts, 128 and 3205, that added together give a palindrome (3333).

The spelling of 1283205 in words is "one million, two hundred eighty-three thousand, two hundred five".