1330305 has 16 divisors (see below), whose sum is σ = 2147904. Its totient is φ = 703040.

The previous prime is 1330253. The next prime is 1330309. The reversal of 1330305 is 5030331.

It is not a de Polignac number, because 1330305 - 2⁷ = 1330177 is a prime.

It is a super-2 number, since 2×1330305² = 3539422786050, which contains 22 as substring.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1330309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1627 + ... + 2303.

It is an arithmetic number, because the mean of its divisors is an integer number (134244).

2^1330305 is an apocalyptic number.

1330305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1330305 is a deficient number, since it is larger than the sum of its proper divisors (817599).

1330305 is a wasteful number, since it uses less digits than its factorization.

1330305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816.

The product of its (nonzero) digits is 135, while the sum is 15.

The square root of 1330305 is about 1153.3884861572. The cubic root of 1330305 is about 109.9808506611.

Adding to 1330305 its reverse (5030331), we get a palindrome (6360636).

The spelling of 1330305 in words is "one million, three hundred thirty thousand, three hundred five".