1005306 has 16 divisors (see below), whose sum is σ = 2026944. Its totient is φ = 332384.

The previous prime is 1005293. The next prime is 1005313. The reversal of 1005306 is 6035001.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 211 + ... + 1433.

It is an arithmetic number, because the mean of its divisors is an integer number (126684).

2^1005306 is an apocalyptic number.

1005306 is an abundant number, since it is smaller than the sum of its proper divisors (1021638).

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

1005306 is a wasteful number, since it uses less digits than its factorization.

1005306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1365.

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 1005306 is about 1002.6494901011. The cubic root of 1005306 is about 100.1765547674.

The spelling of 1005306 in words is "one million, five thousand, three hundred six".