2008125 has 80 divisors (see below), whose sum is σ = 4498560. Its totient is φ = 864000.

The previous prime is 2008121. The next prime is 2008141. The reversal of 2008125 is 5218002.

It is not a de Polignac number, because 2008125 - 2² = 2008121 is a prime.

2008125 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 2008098 and 2008107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2008121) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 118117 + ... + 118133.

It is an arithmetic number, because the mean of its divisors is an integer number (56232).

2^2008125 is an apocalyptic number.

2008125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2008125 is an abundant number, since it is smaller than the sum of its proper divisors (2490435).

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

2008125 is an equidigital number, since it uses as much as digits as its factorization.

2008125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 32 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 2008125 is about 1417.0832720768. The cubic root of 2008125 is about 126.1624887782.

The spelling of 2008125 in words is "two million, eight thousand, one hundred twenty-five".