1305733 has 16 divisors (see below), whose sum is σ = 1604736. Its totient is φ = 1045440.

The previous prime is 1305713. The next prime is 1305739. The reversal of 1305733 is 3375031.

It is the 467-th star number.

It is not a de Polignac number, because 1305733 - 2⁵ = 1305701 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1305739) 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 15 ways as a sum of consecutive naturals, for example, 3091 + ... + 3487.

It is an arithmetic number, because the mean of its divisors is an integer number (100296).

2^1305733 is an apocalyptic number.

1305733 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1305733 is a deficient number, since it is larger than the sum of its proper divisors (299003).

1305733 is a wasteful number, since it uses less digits than its factorization.

1305733 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444.

The product of its (nonzero) digits is 945, while the sum is 22.

The square root of 1305733 is about 1142.6867462258. The cubic root of 1305733 is about 109.2994877969.

The spelling of 1305733 in words is "one million, three hundred five thousand, seven hundred thirty-three".