1005041 has 2 divisors, whose sum is σ = 1005042. Its totient is φ = 1005040.

The previous prime is 1005029. The next prime is 1005049. The reversal of 1005041 is 1405001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1000000 + 5041 = 1000^2 + 71^2 .

It is a cyclic number.

It is not a de Polignac number, because 1005041 - 2⁶ = 1004977 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1005049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 502520 + 502521.

It is an arithmetic number, because the mean of its divisors is an integer number (502521).

2^1005041 is an apocalyptic number.

It is an amenable number.

1005041 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005041 is an equidigital number, since it uses as much as digits as its factorization.

1005041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20, while the sum is 11.

The square root of 1005041 is about 1002.5173315210. The cubic root of 1005041 is about 100.1677517694.

It can be divided in two parts, 100 and 5041, that multiplied together give a square (504100 = 710²).

The spelling of 1005041 in words is "one million, five thousand, forty-one".