1828305 has 32 divisors (see below), whose sum is σ = 3369600. Its totient is φ = 939456.

The previous prime is 1828303. The next prime is 1828319. The reversal of 1828305 is 5038281.

It is a happy number.

It is not a de Polignac number, because 1828305 - 2¹ = 1828303 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

1828305 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (1828301) 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 31 ways as a sum of consecutive naturals, for example, 3682 + ... + 4148.

It is an arithmetic number, because the mean of its divisors is an integer number (105300).

2^1828305 is an apocalyptic number.

1828305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1828305 is a deficient number, since it is larger than the sum of its proper divisors (1541295).

1828305 is a wasteful number, since it uses less digits than its factorization.

1828305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 1828305 is about 1352.1482906841. The cubic root of 1828305 is about 122.2783441373.

The spelling of 1828305 in words is "one million, eight hundred twenty-eight thousand, three hundred five".