2101825 has 12 divisors (see below), whose sum is σ = 2843568. Its totient is φ = 1528400.

The previous prime is 2101823. The next prime is 2101843. The reversal of 2101825 is 5281012.

It is not a de Polignac number, because 2101825 - 2¹ = 2101823 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2101823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3547 + ... + 4096.

It is an arithmetic number, because the mean of its divisors is an integer number (236964).

2^2101825 is an apocalyptic number.

2101825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2101825 is a deficient number, since it is larger than the sum of its proper divisors (741743).

2101825 is a wasteful number, since it uses less digits than its factorization.

2101825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7664 (or 7659 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 19.

The square root of 2101825 is about 1449.7672226947. The cubic root of 2101825 is about 128.0950019003.

Adding to 2101825 its reverse (5281012), we get a palindrome (7382837).

It can be divided in two parts, 2101 and 825, that added together give a triangular number (2926 = T₇₆).

The spelling of 2101825 in words is "two million, one hundred one thousand, eight hundred twenty-five".