1000165205 has 8 divisors (see below), whose sum is σ = 1292521272. Its totient is φ = 738583488.

The previous prime is 1000165141. The next prime is 1000165237. The reversal of 1000165205 is 5025610001.

It can be written as a sum of positive squares in 4 ways, for example, as 171531409 + 828633796 = 13097^2 + 28786^2 .

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 1000165205 - 2⁶ = 1000165141 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7693514 + ... + 7693643.

It is an arithmetic number, because the mean of its divisors is an integer number (161565159).

Almost surely, 2^1000165205 is an apocalyptic number.

It is an amenable number.

1000165205 is a deficient number, since it is larger than the sum of its proper divisors (292356067).

1000165205 is a wasteful number, since it uses less digits than its factorization.

1000165205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15387175.

The product of its (nonzero) digits is 300, while the sum is 20.

The square root of 1000165205 is about 31625.3886142131. The cubic root of 1000165205 is about 1000.0550653011.

Adding to 1000165205 its reverse (5025610001), we get a palindrome (6025775206).

The spelling of 1000165205 in words is "one billion, one hundred sixty-five thousand, two hundred five".