1813305 has 32 divisors (see below), whose sum is σ = 3314304. Its totient is φ = 838656.

The previous prime is 1813291. The next prime is 1813313. The reversal of 1813305 is 5033181.

It is a happy number.

It is not a de Polignac number, because 1813305 - 2⁷ = 1813177 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 (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3042 + ... + 3588.

It is an arithmetic number, because the mean of its divisors is an integer number (103572).

2^1813305 is an apocalyptic number.

1813305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1813305 is a deficient number, since it is larger than the sum of its proper divisors (1500999).

1813305 is a wasteful number, since it uses less digits than its factorization.

1813305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585.

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 1813305 is about 1346.5901380895. The cubic root of 1813305 is about 121.9430218571.

Adding to 1813305 its reverse (5033181), we get a palindrome (6846486).

It can be divided in two parts, 181 and 3305, that added together give a triangular number (3486 = T₈₃).

The spelling of 1813305 in words is "one million, eight hundred thirteen thousand, three hundred five".