2005815 has 24 divisors (see below), whose sum is σ = 3734640. Its totient is φ = 916608.

The previous prime is 2005799. The next prime is 2005831. The reversal of 2005815 is 5185002.

It is an interprime number because it is at equal distance from previous prime (2005799) and next prime (2005831).

It is not a de Polignac number, because 2005815 - 2⁴ = 2005799 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 2005791 and 2005800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 630 + ... + 2099.

It is an arithmetic number, because the mean of its divisors is an integer number (155610).

2^2005815 is an apocalyptic number.

2005815 is a deficient number, since it is larger than the sum of its proper divisors (1728825).

2005815 is a wasteful number, since it uses less digits than its factorization.

2005815 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2751 (or 2744 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

The square root of 2005815 is about 1416.2679831162. The cubic root of 2005815 is about 126.1140941863.

The spelling of 2005815 in words is "two million, five thousand, eight hundred fifteen".