2213281 has 12 divisors (see below), whose sum is σ = 2727108. Its totient is φ = 1784832.

The previous prime is 2213279. The next prime is 2213293. The reversal of 2213281 is 1823122.

It can be written as a sum of positive squares in 2 ways, for example, as 1587600 + 625681 = 1260^2 + 791^2 .

It is not a de Polignac number, because 2213281 - 2¹ = 2213279 is a prime.

It is a super-2 number, since 2×2213281² = 9797225569922, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2213201) 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, 496 + ... + 2161.

It is an arithmetic number, because the mean of its divisors is an integer number (227259).

2^2213281 is an apocalyptic number.

It is an amenable number.

2213281 is a deficient number, since it is larger than the sum of its proper divisors (513827).

2213281 is a wasteful number, since it uses less digits than its factorization.

2213281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2688 (or 2681 counting only the distinct ones).

The product of its digits is 192, while the sum is 19.

The square root of 2213281 is about 1487.7099851786. The cubic root of 2213281 is about 130.3203342732.

The spelling of 2213281 in words is "two million, two hundred thirteen thousand, two hundred eighty-one".