2238561 has 36 divisors (see below), whose sum is σ = 3744468. Its totient is φ = 1280448.

The previous prime is 2238557. The next prime is 2238569. The reversal of 2238561 is 1658322.

It can be written as a sum of positive squares in 2 ways, for example, as 938961 + 1299600 = 969^2 + 1140^2 .

It is not a de Polignac number, because 2238561 - 2² = 2238557 is a prime.

It is a super-3 number, since 3×2238561³ = 33653330799196057443, which contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a d-powerful number, because it can be written as 2¹³ + 2¹³ + 3⁵ + 8⁷ + 5⁷ + 6⁶ + 1 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2238569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 42211 + ... + 42263.

It is an arithmetic number, because the mean of its divisors is an integer number (104013).

2^2238561 is an apocalyptic number.

It is an amenable number.

2238561 is a deficient number, since it is larger than the sum of its proper divisors (1505907).

2238561 is a wasteful number, since it uses less digits than its factorization.

2238561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 88 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 2238561 is about 1496.1821413184. The cubic root of 2238561 is about 130.8146281651.

It can be divided in two parts, 22 and 38561, that added together give a palindrome (38583).

The spelling of 2238561 in words is "two million, two hundred thirty-eight thousand, five hundred sixty-one".