2821825 has 12 divisors (see below), whose sum is σ = 3585708. Its totient is φ = 2201600.

The previous prime is 2821817. The next prime is 2821829. The reversal of 2821825 is 5281282.

It can be written as a sum of positive squares in 6 ways, for example, as 76176 + 2745649 = 276^2 + 1657^2 .

It is not a de Polignac number, because 2821825 - 2³ = 2821817 is a prime.

It is a Duffinian number.

2821825 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 2821793 and 2821802.

It is not an unprimeable number, because it can be changed into a prime (2821829) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 352 + ... + 2401.

It is an arithmetic number, because the mean of its divisors is an integer number (298809).

2^2821825 is an apocalyptic number.

2821825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2821825 is a deficient number, since it is larger than the sum of its proper divisors (763883).

2821825 is a wasteful number, since it uses less digits than its factorization.

2821825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2804 (or 2799 counting only the distinct ones).

The product of its digits is 2560, while the sum is 28.

The square root of 2821825 is about 1679.8288603307. The cubic root of 2821825 is about 141.3112350987.

The spelling of 2821825 in words is "two million, eight hundred twenty-one thousand, eight hundred twenty-five".