2261217 has 32 divisors (see below), whose sum is σ = 3686400. Its totient is φ = 1205568.

The previous prime is 2261213. The next prime is 2261219. The reversal of 2261217 is 7121622.

It is not a de Polignac number, because 2261217 - 2² = 2261213 is a prime.

It is a super-2 number, since 2×2261217² = 10226204642178, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a d-powerful number, because it can be written as 2¹⁵ + 2¹⁷ + 6³ + 1 + 2²¹ + 1 + 7 .

2261217 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 2261193 and 2261202.

It is not an unprimeable number, because it can be changed into a prime (2261213) 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 31 ways as a sum of consecutive naturals, for example, 28584 + ... + 28662.

It is an arithmetic number, because the mean of its divisors is an integer number (115200).

2^2261217 is an apocalyptic number.

It is an amenable number.

2261217 is a deficient number, since it is larger than the sum of its proper divisors (1425183).

2261217 is a wasteful number, since it uses less digits than its factorization.

2261217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165.

The product of its digits is 336, while the sum is 21.

The square root of 2261217 is about 1503.7343515395. The cubic root of 2261217 is about 131.2544633403.

Adding to 2261217 its reverse (7121622), we get a palindrome (9382839).

It can be divided in two parts, 226121 and 7, that added together give a triangular number (226128 = T₆₇₂).

The spelling of 2261217 in words is "two million, two hundred sixty-one thousand, two hundred seventeen".