1005705 has 12 divisors (see below), whose sum is σ = 1743300. Its totient is φ = 536352.

The previous prime is 1005701. The next prime is 1005709. The reversal of 1005705 is 5075001.

It is a happy number.

1005705 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1005701) and next prime (1005709).

It can be written as a sum of positive squares in 2 ways, for example, as 254016 + 751689 = 504^2 + 867^2 .

It is not a de Polignac number, because 1005705 - 2² = 1005701 is a prime.

It is a super-2 number, since 2×1005705² = 2022885094050, which contains 22 as substring.

1005705 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (1005701) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11130 + ... + 11219.

It is an arithmetic number, because the mean of its divisors is an integer number (145275).

2^1005705 is an apocalyptic number.

1005705 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1005705 is a deficient number, since it is larger than the sum of its proper divisors (737595).

1005705 is a wasteful number, since it uses less digits than its factorization.

1005705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22360 (or 22357 counting only the distinct ones).

The product of its (nonzero) digits is 175, while the sum is 18.

The square root of 1005705 is about 1002.8484431857. The cubic root of 1005705 is about 100.1898061749.

The spelling of 1005705 in words is "one million, five thousand, seven hundred five".