41296 has 20 divisors (see below), whose sum is σ = 83700. Its totient is φ = 19712.

The previous prime is 41281. The next prime is 41299. The reversal of 41296 is 69214.

It can be written as a sum of positive squares in 2 ways, for example, as 14400 + 26896 = 120^2 + 164^2 .

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41299) 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 in 3 ways as a sum of consecutive naturals, for example, 420 + ... + 508.

It is an arithmetic number, because the mean of its divisors is an integer number (4185).

2⁴¹²⁹⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41850).

41296 is an abundant number, since it is smaller than the sum of its proper divisors (42404).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

41296 is a wasteful number, since it uses less digits than its factorization.

41296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 120 counting only the distinct ones).

The product of its digits is 432, while the sum is 22.

The square root of 41296 is about 203.2141727341. The cubic root of 41296 is about 34.5649549937.

It can be divided in two parts, 4 and 1296, that multiplied together give a square (5184 = 72²).

The spelling of 41296 in words is "forty-one thousand, two hundred ninety-six".