2113825 has 24 divisors (see below), whose sum is σ = 3071232. Its totient is φ = 1413120.

The previous prime is 2113823. The next prime is 2113843. The reversal of 2113825 is 5283112.

It is not a de Polignac number, because 2113825 - 2¹ = 2113823 is a prime.

It is a super-2 number, since 2×2113825² = 8936512261250, which contains 22 as substring.

It is a Duffinian number.

2113825 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 2113796 and 2113805.

It is not an unprimeable number, because it can be changed into a prime (2113823) 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 23 ways as a sum of consecutive naturals, for example, 8097 + ... + 8353.

It is an arithmetic number, because the mean of its divisors is an integer number (127968).

2^2113825 is an apocalyptic number.

2113825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2113825 is a deficient number, since it is larger than the sum of its proper divisors (957407).

2113825 is a wasteful number, since it uses less digits than its factorization.

2113825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 316 counting only the distinct ones).

The product of its digits is 480, while the sum is 22.

The square root of 2113825 is about 1453.8999277805. The cubic root of 2113825 is about 128.3383180538.

Adding to 2113825 its reverse (5283112), we get a palindrome (7396937).

The spelling of 2113825 in words is "two million, one hundred thirteen thousand, eight hundred twenty-five".