1005205 has 8 divisors (see below), whose sum is σ = 1216512. Its totient is φ = 797328.

The previous prime is 1005203. The next prime is 1005209. The reversal of 1005205 is 5025001.

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 1005205 - 2¹ = 1005203 is a prime.

It is a Duffinian number.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005203) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 157 + ... + 1426.

It is an arithmetic number, because the mean of its divisors is an integer number (152064).

2^1005205 is an apocalyptic number.

It is an amenable number.

1005205 is a deficient number, since it is larger than the sum of its proper divisors (211307).

1005205 is a wasteful number, since it uses less digits than its factorization.

1005205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1715.

The product of its (nonzero) digits is 50, while the sum is 13.

The square root of 1005205 is about 1002.5991222817. The cubic root of 1005205 is about 100.1731998449.

The spelling of 1005205 in words is "one million, five thousand, two hundred five".