2005817 has 10 divisors (see below), whose sum is σ = 2222490. Its totient is φ = 1810160.

The previous prime is 2005799. The next prime is 2005831. The reversal of 2005817 is 7185002.

It can be written as a sum of positive squares in only one way, i.e., 1771561 + 234256 = 1331^2 + 484^2 .

It is not a de Polignac number, because 2005817 - 2¹² = 2001721 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2005792 and 2005801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005877) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 14573 + ... + 14709.

It is an arithmetic number, because the mean of its divisors is an integer number (222249).

2^2005817 is an apocalyptic number.

It is an amenable number.

2005817 is a deficient number, since it is larger than the sum of its proper divisors (216673).

2005817 is an frugal number, since it uses more digits than its factorization.

2005817 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 23.

The square root of 2005817 is about 1416.2686891971. The cubic root of 2005817 is about 126.1141361025.

The spelling of 2005817 in words is "two million, five thousand, eight hundred seventeen".