2261961 has 12 divisors (see below), whose sum is σ = 3518788. Its totient is φ = 1391904.

The previous prime is 2261933. The next prime is 2261993. The reversal of 2261961 is 1691622.

It can be written as a sum of positive squares in 2 ways, for example, as 1299600 + 962361 = 1140^2 + 981^2 .

It is not a de Polignac number, because 2261961 - 2¹¹ = 2259913 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2261911) 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, 9550 + ... + 9783.

2^2261961 is an apocalyptic number.

It is an amenable number.

2261961 is a deficient number, since it is larger than the sum of its proper divisors (1256827).

2261961 is a wasteful number, since it uses less digits than its factorization.

2261961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19352 (or 19349 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 2261961 is about 1503.9817153144. The cubic root of 2261961 is about 131.2688571545.

It can be divided in two parts, 226 and 1961, that added together give a 7-th power (2187 = 3⁷).

The spelling of 2261961 in words is "two million, two hundred sixty-one thousand, nine hundred sixty-one".