1006705 has 16 divisors (see below), whose sum is σ = 1411200. Its totient is φ = 689136.

The previous prime is 1006651. The next prime is 1006711. The reversal of 1006705 is 5076001.

It is not a de Polignac number, because 1006705 - 2⁹ = 1006193 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1422 + ... + 2008.

It is an arithmetic number, because the mean of its divisors is an integer number (88200).

2^1006705 is an apocalyptic number.

It is an amenable number.

1006705 is a deficient number, since it is larger than the sum of its proper divisors (404495).

1006705 is an frugal number, since it uses more digits than its factorization.

1006705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 613 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 19.

The square root of 1006705 is about 1003.3468991331. The cubic root of 1006705 is about 100.2230023299.

It can be divided in two parts, 1006 and 705, that added together give a triangular number (1711 = T₅₈).

The spelling of 1006705 in words is "one million, six thousand, seven hundred five".