4261 has 2 divisors, whose sum is σ = 4262. Its totient is φ = 4260.

The previous prime is 4259. The next prime is 4271. The reversal of 4261 is 1624.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 4225 + 36 = 65^2 + 6^2 .

It is a cyclic number.

It is not a de Polignac number, because 4261 - 2¹ = 4259 is a prime.

It is a super-2 number, since 2×4261² = 36312242, which contains 22 as substring.

Together with 4259, it forms a pair of twin primes.

It is a d-powerful number, because it can be written as 4⁶ + 6² + 2⁷ + 1 .

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2130 + 2131.

It is an arithmetic number, because the mean of its divisors is an integer number (2131).

2⁴²⁶¹ is an apocalyptic number.

It is an amenable number.

4261 is a deficient number, since it is larger than the sum of its proper divisors (1).

4261 is an equidigital number, since it uses as much as digits as its factorization.

4261 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 48, while the sum is 13.

The square root of 4261 is about 65.2763356815. The cubic root of 4261 is about 16.2120217630.

Adding to 4261 its reverse (1624), we get a palindrome (5885).

The spelling of 4261 in words is "four thousand, two hundred sixty-one".