1005409 has 2 divisors, whose sum is σ = 1005410. Its totient is φ = 1005408.

The previous prime is 1005391. The next prime is 1005413. The reversal of 1005409 is 9045001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 760384 + 245025 = 872^2 + 495^2 .

It is a cyclic number.

It is not a de Polignac number, because 1005409 - 2¹¹ = 1003361 is a prime.

1005409 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (1005439) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 502704 + 502705.

It is an arithmetic number, because the mean of its divisors is an integer number (502705).

2^1005409 is an apocalyptic number.

It is an amenable number.

1005409 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005409 is an equidigital number, since it uses as much as digits as its factorization.

1005409 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 1005409 is about 1002.7008526974. The cubic root of 1005409 is about 100.1799758925.

The spelling of 1005409 in words is "one million, five thousand, four hundred nine".