1006084 has 12 divisors (see below), whose sum is σ = 1779484. Its totient is φ = 497664.

The previous prime is 1006063. The next prime is 1006087. The reversal of 1006084 is 4806001.

It can be written as a sum of positive squares in 2 ways, for example, as 529984 + 476100 = 728^2 + 690^2 .

It is not an unprimeable number, because it can be changed into a prime (1006087) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 909 + ... + 1684.

2^1006084 is an apocalyptic number.

It is an amenable number.

1006084 is a deficient number, since it is larger than the sum of its proper divisors (773400).

1006084 is a wasteful number, since it uses less digits than its factorization.

1006084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2694 (or 2692 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 1006084 is about 1003.0373871397. The cubic root of 1006084 is about 100.2023901061.

It can be divided in two parts, 100 and 6084, that multiplied together give a square (608400 = 780²).

The spelling of 1006084 in words is "one million, six thousand, eighty-four".