1133205 has 16 divisors (see below), whose sum is σ = 1872384. Its totient is φ = 584640.

The previous prime is 1133191. The next prime is 1133219. The reversal of 1133205 is 5023311.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1133191) and next prime (1133219).

It is not a de Polignac number, because 1133205 - 2⁴ = 1133189 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

1133205 is a lucky number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 754 + ... + 1683.

It is an arithmetic number, because the mean of its divisors is an integer number (117024).

2^1133205 is an apocalyptic number.

1133205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1133205 is a deficient number, since it is larger than the sum of its proper divisors (739179).

1133205 is a wasteful number, since it uses less digits than its factorization.

1133205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2476.

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 1133205 is about 1064.5210190504. The cubic root of 1133205 is about 104.2564246798.

Adding to 1133205 its reverse (5023311), we get a palindrome (6156516).

The spelling of 1133205 in words is "one million, one hundred thirty-three thousand, two hundred five".