1006785 has 24 divisors (see below), whose sum is σ = 1880424. Its totient is φ = 495360.

The previous prime is 1006783. The next prime is 1006799. The reversal of 1006785 is 5876001.

It can be written as a sum of positive squares in 4 ways, for example, as 62001 + 944784 = 249^2 + 972^2 .

It is not a de Polignac number, because 1006785 - 2¹ = 1006783 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1006781) 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 in 23 ways as a sum of consecutive naturals, for example, 276 + ... + 1445.

It is an arithmetic number, because the mean of its divisors is an integer number (78351).

2^1006785 is an apocalyptic number.

1006785 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1006785 is a deficient number, since it is larger than the sum of its proper divisors (873639).

1006785 is a wasteful number, since it uses less digits than its factorization.

1006785 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1745 (or 1742 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 1006785 is about 1003.3867649117. The cubic root of 1006785 is about 100.2256570725.

The spelling of 1006785 in words is "one million, six thousand, seven hundred eighty-five".