2005116 has 24 divisors (see below), whose sum is σ = 4954320. Its totient is φ = 628992.

The previous prime is 2005103. The next prime is 2005121. The reversal of 2005116 is 6115002.

2005116 = 468² + 469² + ... + 476².

It is a junction number, because it is equal to n+sod(n) for n = 2005095 and 2005104.

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, 4711 + ... + 5118.

It is an arithmetic number, because the mean of its divisors is an integer number (206430).

2^2005116 is an apocalyptic number.

It is an amenable number.

2005116 is an abundant number, since it is smaller than the sum of its proper divisors (2949204).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2005116 is a wasteful number, since it uses less digits than its factorization.

2005116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9853 (or 9851 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 2005116 is about 1416.0211862822. The cubic root of 2005116 is about 126.0994427863.

Subtracting from 2005116 its product of nonzero digits (60), we obtain a square (2005056 = 1416²).

The spelling of 2005116 in words is "two million, five thousand, one hundred sixteen".