1008041 has 2 divisors, whose sum is σ = 1008042. Its totient is φ = 1008040.

The previous prime is 1008037. The next prime is 1008043. The reversal of 1008041 is 1408001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1008016 + 25 = 1004^2 + 5^2 .

It is a cyclic number.

It is not a de Polignac number, because 1008041 - 2² = 1008037 is a prime.

It is a super-2 number, since 2×1008041² = 2032293315362, which contains 22 as substring.

Together with 1008043, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (1008043) 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, 504020 + 504021.

It is an arithmetic number, because the mean of its divisors is an integer number (504021).

2^1008041 is an apocalyptic number.

It is an amenable number.

1008041 is a deficient number, since it is larger than the sum of its proper divisors (1).

1008041 is an equidigital number, since it uses as much as digits as its factorization.

1008041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 1008041 is about 1004.0124501220. The cubic root of 1008041 is about 100.2673181069.

The spelling of 1008041 in words is "one million, eight thousand, forty-one".