2256825 has 12 divisors (see below), whose sum is σ = 3731408. Its totient is φ = 1203600.

The previous prime is 2256823. The next prime is 2256827. The reversal of 2256825 is 5286522.

It is an interprime number because it is at equal distance from previous prime (2256823) and next prime (2256827).

It is not a de Polignac number, because 2256825 - 2¹ = 2256823 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2256792 and 2256801.

It is not an unprimeable number, because it can be changed into a prime (2256823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14971 + ... + 15120.

2^2256825 is an apocalyptic number.

2256825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2256825 is a deficient number, since it is larger than the sum of its proper divisors (1474583).

2256825 is a wasteful number, since it uses less digits than its factorization.

2256825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30104 (or 30099 counting only the distinct ones).

The product of its digits is 9600, while the sum is 30.

The square root of 2256825 is about 1502.2732774033. The cubic root of 2256825 is about 131.1694290077.

It can be divided in two parts, 2256 and 825, that added together give a triangular number (3081 = T₇₈).

The spelling of 2256825 in words is "two million, two hundred fifty-six thousand, eight hundred twenty-five".