2213265 has 8 divisors (see below), whose sum is σ = 3541248. Its totient is φ = 1180400.

The previous prime is 2213243. The next prime is 2213279. The reversal of 2213265 is 5623122.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 2213265 - 2⁶ = 2213201 is a prime.

It is a d-powerful number, because it can be written as 2 + 2⁵ + 1 + 3¹² + 2¹¹ + 6⁸ + 5³ .

2213265 is a lucky number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73761 + ... + 73790.

It is an arithmetic number, because the mean of its divisors is an integer number (442656).

2^2213265 is an apocalyptic number.

It is an amenable number.

2213265 is a deficient number, since it is larger than the sum of its proper divisors (1327983).

2213265 is a wasteful number, since it uses less digits than its factorization.

2213265 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147559.

The product of its digits is 720, while the sum is 21.

The square root of 2213265 is about 1487.7046077767. The cubic root of 2213265 is about 130.3200202401.

Adding to 2213265 its reverse (5623122), we get a palindrome (7836387).

It can be divided in two parts, 221 and 3265, that added together give a triangular number (3486 = T₈₃).

The spelling of 2213265 in words is "two million, two hundred thirteen thousand, two hundred sixty-five".