1006905 has 16 divisors (see below), whose sum is σ = 1696320. Its totient is φ = 508608.

The previous prime is 1006897. The next prime is 1006933. The reversal of 1006905 is 5096001.

It is not a de Polignac number, because 1006905 - 2³ = 1006897 is a prime.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1482 + ... + 2051.

It is an arithmetic number, because the mean of its divisors is an integer number (106020).

2^1006905 is an apocalyptic number.

1006905 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1006905 is a deficient number, since it is larger than the sum of its proper divisors (689415).

1006905 is a wasteful number, since it uses less digits than its factorization.

1006905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3560.

The product of its (nonzero) digits is 270, while the sum is 21.

The square root of 1006905 is about 1003.4465606100. The cubic root of 1006905 is about 100.2296389227.

The spelling of 1006905 in words is "one million, six thousand, nine hundred five".