2008385 has 16 divisors (see below), whose sum is σ = 2518992. Its totient is φ = 1536000.

The previous prime is 2008379. The next prime is 2008393. The reversal of 2008385 is 5838002.

It can be written as a sum of positive squares in 8 ways, for example, as 14641 + 1993744 = 121^2 + 1412^2 .

It is not a de Polignac number, because 2008385 - 2²⁰ = 959809 is a prime.

It is a super-2 number, since 2×2008385² = 8067220616450, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19835 + ... + 19935.

It is an arithmetic number, because the mean of its divisors is an integer number (157437).

2^2008385 is an apocalyptic number.

It is an amenable number.

2008385 is a deficient number, since it is larger than the sum of its proper divisors (510607).

2008385 is a wasteful number, since it uses less digits than its factorization.

2008385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244.

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 2008385 is about 1417.1750068358. The cubic root of 2008385 is about 126.1679334644.

The spelling of 2008385 in words is "two million, eight thousand, three hundred eighty-five".