1305306 has 24 divisors (see below), whose sum is σ = 2855424. Its totient is φ = 430920.

The previous prime is 1305301. The next prime is 1305307. The reversal of 1305306 is 6035031.

1305306 is a `hidden beast` number, since 130 + 530 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1305301) 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 11 ways as a sum of consecutive naturals, for example, 2001 + ... + 2571.

It is an arithmetic number, because the mean of its divisors is an integer number (118976).

2^1305306 is an apocalyptic number.

It is a pronic number, being equal to 1142×1143.

1305306 is an abundant number, since it is smaller than the sum of its proper divisors (1550118).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1305306 is a wasteful number, since it uses less digits than its factorization.

1305306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706 (or 703 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 1305306 is about 1142.4998905908. The cubic root of 1305306 is about 109.2875721476.

The spelling of 1305306 in words is "one million, three hundred five thousand, three hundred six".