1006205 has 8 divisors (see below), whose sum is σ = 1230552. Its totient is φ = 789568.

The previous prime is 1006193. The next prime is 1006217. The reversal of 1006205 is 5026001.

1006205 = 40² + 41² + ... + 145².

It is an interprime number because it is at equal distance from previous prime (1006193) and next prime (1006217).

It can be written as a sum of positive squares in 4 ways, for example, as 10201 + 996004 = 101^2 + 998^2 .

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 1006205 - 2⁴ = 1006189 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1006205.

It is a congruent 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, 1634 + ... + 2163.

It is an arithmetic number, because the mean of its divisors is an integer number (153819).

2^1006205 is an apocalyptic number.

It is an amenable number.

1006205 is a deficient number, since it is larger than the sum of its proper divisors (224347).

1006205 is an equidigital number, since it uses as much as digits as its factorization.

1006205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3855.

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 1006205 is about 1003.0977021208. The cubic root of 1006205 is about 100.2064070017.

The spelling of 1006205 in words is "one million, six thousand, two hundred five".