1006411 has 24 divisors (see below), whose sum is σ = 1313280. Its totient is φ = 765072.

The previous prime is 1006393. The next prime is 1006433. The reversal of 1006411 is 1146001.

1006411 = T₁₈₃ + T₁₈₄ + ... + T₂₂₉.

It is not a de Polignac number, because 1006411 - 2¹¹ = 1004363 is a prime.

1006411 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 1006391 and 1006400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006441) 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 in 23 ways as a sum of consecutive naturals, for example, 21390 + ... + 21436.

It is an arithmetic number, because the mean of its divisors is an integer number (54720).

2^1006411 is an apocalyptic number.

1006411 is a deficient number, since it is larger than the sum of its proper divisors (306869).

1006411 is a wasteful number, since it uses less digits than its factorization.

1006411 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 1006411 is about 1003.2003787878. The cubic root of 1006411 is about 100.2132449427.

The spelling of 1006411 in words is "one million, six thousand, four hundred eleven".