1830305 has 16 divisors (see below), whose sum is σ = 2370384. Its totient is φ = 1351680.

The previous prime is 1830287. The next prime is 1830307. The reversal of 1830305 is 5030381.

It can be written as a sum of positive squares in 8 ways, for example, as 132496 + 1697809 = 364^2 + 1303^2 .

It is not a de Polignac number, because 1830305 - 2¹⁰ = 1829281 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1830307) by changing a digit.

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, 5009 + ... + 5361.

It is an arithmetic number, because the mean of its divisors is an integer number (148149).

2^1830305 is an apocalyptic number.

It is an amenable number.

1830305 is a deficient number, since it is larger than the sum of its proper divisors (540079).

1830305 is a wasteful number, since it uses less digits than its factorization.

1830305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436.

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 1830305 is about 1352.8876523939. The cubic root of 1830305 is about 122.3229150318.

Adding to 1830305 its reverse (5030381), we get a palindrome (6860686).

It can be divided in two parts, 18 and 30305, that multiplied together give a triangular number (545490 = T₁₀₄₄).

The spelling of 1830305 in words is "one million, eight hundred thirty thousand, three hundred five".