2262825 has 36 divisors (see below), whose sum is σ = 4134780. Its totient is φ = 1182720.

The previous prime is 2262823. The next prime is 2262833. The reversal of 2262825 is 5282622.

It can be written as a sum of positive squares in 6 ways, for example, as 793881 + 1468944 = 891^2 + 1212^2 .

It is not a de Polignac number, because 2262825 - 2¹ = 2262823 is a prime.

It is a d-powerful number, because it can be written as 2¹⁵ + 2¹⁷ + 6⁴ + 2²⁰ + 8³ + 2²⁰ + 5² .

It is not an unprimeable number, because it can be changed into a prime (2262823) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 19969 + ... + 20081.

It is an arithmetic number, because the mean of its divisors is an integer number (114855).

2^2262825 is an apocalyptic number.

2262825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2262825 is a deficient number, since it is larger than the sum of its proper divisors (1871955).

2262825 is a wasteful number, since it uses less digits than its factorization.

2262825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 210 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 2262825 is about 1504.2689254252. The cubic root of 2262825 is about 131.2855685914.

The spelling of 2262825 in words is "two million, two hundred sixty-two thousand, eight hundred twenty-five".