1005709 has 2 divisors, whose sum is σ = 1005710. Its totient is φ = 1005708.

The previous prime is 1005701. The next prime is 1005751. The reversal of 1005709 is 9075001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 896809 + 108900 = 947^2 + 330^2 .

It is a cyclic number.

It is not a de Polignac number, because 1005709 - 2³ = 1005701 is a prime.

It is a super-2 number, since 2×1005709² = 2022901185362, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1005709.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1005701) 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 as a sum of consecutive naturals, namely, 502854 + 502855.

It is an arithmetic number, because the mean of its divisors is an integer number (502855).

2^1005709 is an apocalyptic number.

It is an amenable number.

1005709 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005709 is an equidigital number, since it uses as much as digits as its factorization.

1005709 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 315, while the sum is 22.

The square root of 1005709 is about 1002.8504375030. The cubic root of 1005709 is about 100.1899390033.

The spelling of 1005709 in words is "one million, five thousand, seven hundred nine".