1085905 has 8 divisors (see below), whose sum is σ = 1348200. Its totient is φ = 838656.

The previous prime is 1085891. The next prime is 1085911. The reversal of 1085905 is 5095801.

It can be written as a sum of positive squares in 4 ways, for example, as 117649 + 968256 = 343^2 + 984^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1085905 - 2⁵ = 1085873 is a prime.

1085905 is a lucky number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3600 + ... + 3889.

It is an arithmetic number, because the mean of its divisors is an integer number (168525).

2^1085905 is an apocalyptic number.

It is an amenable number.

1085905 is a deficient number, since it is larger than the sum of its proper divisors (262295).

1085905 is an equidigital number, since it uses as much as digits as its factorization.

1085905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7523.

The product of its (nonzero) digits is 1800, while the sum is 28.

The square root of 1085905 is about 1042.0676561529. The cubic root of 1085905 is about 102.7852060751.

The spelling of 1085905 in words is "one million, eighty-five thousand, nine hundred five".