2261 has 8 divisors (see below), whose sum is σ = 2880. Its totient is φ = 1728.

The previous prime is 2251. The next prime is 2267. The reversal of 2261 is 1622.

2261 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a cyclic number.

It is not a de Polignac number, because 2261 - 2¹⁰ = 1237 is a prime.

It is a super-2 number, since 2×2261² = 10224242, which contains 22 as substring.

It is a magnanimous number.

It is a Duffinian number.

It is a Curzon number.

It is a nialpdrome in base 7 and base 14.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 2261.

It is not an unprimeable number, because it can be changed into a prime (2267) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 110 + ... + 128.

It is an arithmetic number, because the mean of its divisors is an integer number (360).

It is an amenable number.

2261 is a deficient number, since it is larger than the sum of its proper divisors (619).

2261 is a wasteful number, since it uses less digits than its factorization.

2261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43.

The product of its digits is 24, while the sum is 11.

The square root of 2261 is about 47.5499737119. The cubic root of 2261 is about 13.1250264550.

Adding to 2261 its reverse (1622), we get a palindrome (3883).

The spelling of 2261 in words is "two thousand, two hundred sixty-one".