41261 has 8 divisors (see below), whose sum is σ = 46848. Its totient is φ = 36300.

The previous prime is 41257. The next prime is 41263. The reversal of 41261 is 16214.

It is not a de Polignac number, because 41261 - 2² = 41257 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41263) 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 7 ways as a sum of consecutive naturals, for example, 1316 + ... + 1346.

It is an arithmetic number, because the mean of its divisors is an integer number (5856).

2⁴¹²⁶¹ is an apocalyptic number.

It is an amenable number.

41261 is a deficient number, since it is larger than the sum of its proper divisors (5587).

41261 is an equidigital number, since it uses as much as digits as its factorization.

With its successor (41262) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (64).

41261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 42 counting only the distinct ones).

The product of its digits is 48, while the sum is 14.

The square root of 41261 is about 203.1280384388. The cubic root of 41261 is about 34.5551871763. Note that the first 3 decimals are identical.

Adding to 41261 its reverse (16214), we get a palindrome (57475).

It can be divided in two parts, 41 and 261, that multiplied together give a palindrome (10701).

The spelling of 41261 in words is "forty-one thousand, two hundred sixty-one".