1008409 has 2 divisors, whose sum is σ = 1008410. Its totient is φ = 1008408.

The previous prime is 1008407. The next prime is 1008419. The reversal of 1008409 is 9048001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 994009 + 14400 = 997^2 + 120^2 .

It is a cyclic number.

It is not a de Polignac number, because 1008409 - 2¹ = 1008407 is a prime.

It is a super-2 number, since 2×1008409² = 2033777422562, which contains 22 as substring.

Together with 1008407, it forms a pair of twin primes.

1008409 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 1008409.

It is not a weakly prime, because it can be changed into another prime (1008401) 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, 504204 + 504205.

It is an arithmetic number, because the mean of its divisors is an integer number (504205).

2^1008409 is an apocalyptic number.

It is an amenable number.

1008409 is a deficient number, since it is larger than the sum of its proper divisors (1).

1008409 is an equidigital number, since it uses as much as digits as its factorization.

1008409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 1008409 is about 1004.1956980589. The cubic root of 1008409 is about 100.2795179691.

The spelling of 1008409 in words is "one million, eight thousand, four hundred nine".