2772225 has 45 divisors (see below), whose sum is σ = 5277657. Its totient is φ = 1438560.

The previous prime is 2772199. The next prime is 2772227. The reversal of 2772225 is 5222772.

It is a happy number.

The square root of 2772225 is 1665.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 263169 + 2509056 = 513^2 + 1584^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 2772225 - 2⁵ = 2772193 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a d-powerful number, because it can be written as 2¹⁵ + 7³ + 7⁶ + 2¹⁹ + 2²⁰ + 2²⁰ + 5² .

It is not an unprimeable number, because it can be changed into a prime (2772227) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 74907 + ... + 74943.

2^2772225 is an apocalyptic number.

2772225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2772225 is the 1665-th square number.

2772225 is the 833-rd centered octagonal number.

It is an amenable number.

2772225 is a deficient number, since it is larger than the sum of its proper divisors (2505432).

2772225 is an equidigital number, since it uses as much as digits as its factorization.

2772225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 45 counting only the distinct ones).

The product of its digits is 3920, while the sum is 27.

The cubic root of 2772225 is about 140.4783805170.

Adding to 2772225 its reverse (5222772), we get a palindrome (7994997).

The spelling of 2772225 in words is "two million, seven hundred seventy-two thousand, two hundred twenty-five".