1000305 has 12 divisors (see below), whose sum is σ = 1733940. Its totient is φ = 533472.

The previous prime is 1000303. The next prime is 1000313. The reversal of 1000305 is 5030001.

It can be written as a sum of positive squares in 2 ways, for example, as 314721 + 685584 = 561^2 + 828^2 .

It is not a de Polignac number, because 1000305 - 2¹ = 1000303 is a prime.

It is a super-2 number, since 2×1000305² = 2001220186050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (1000303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11070 + ... + 11159.

It is an arithmetic number, because the mean of its divisors is an integer number (144495).

2^1000305 is an apocalyptic number.

1000305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1000305 is a deficient number, since it is larger than the sum of its proper divisors (733635).

1000305 is a wasteful number, since it uses less digits than its factorization.

1000305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22240 (or 22237 counting only the distinct ones).

The product of its (nonzero) digits is 15, while the sum is 9.

The square root of 1000305 is about 1000.1524883736. The cubic root of 1000305 is about 100.0101656332.

Adding to 1000305 its reverse (5030001), we get a palindrome (6030306).

The spelling of 1000305 in words is "one million, three hundred five", and thus it is an aban number.