2813825 has 18 divisors (see below), whose sum is σ = 4060566. Its totient is φ = 1928640.

The previous prime is 2813821. The next prime is 2813827. The reversal of 2813825 is 5283182.

It can be written as a sum of positive squares in 3 ways, for example, as 153664 + 2660161 = 392^2 + 1631^2 .

It is not a de Polignac number, because 2813825 - 2² = 2813821 is a prime.

It is a super-2 number, since 2×2813825² = 15835222261250, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2813821) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 77 + ... + 2373.

It is an arithmetic number, because the mean of its divisors is an integer number (225587).

2^2813825 is an apocalyptic number.

2813825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2813825 is a deficient number, since it is larger than the sum of its proper divisors (1246741).

2813825 is a wasteful number, since it uses less digits than its factorization.

2813825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2321 (or 2309 counting only the distinct ones).

The product of its digits is 3840, while the sum is 29.

The square root of 2813825 is about 1677.4459752850. The cubic root of 2813825 is about 141.1775674785.

The spelling of 2813825 in words is "two million, eight hundred thirteen thousand, eight hundred twenty-five".