41288 has 16 divisors (see below), whose sum is σ = 83580. Its totient is φ = 19008.

The previous prime is 41281. The next prime is 41299. The reversal of 41288 is 88214.

It can be written as a sum of positive squares in 2 ways, for example, as 40804 + 484 = 202^2 + 22^2 .

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (41281) by changing a digit.

41288 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 95 + ... + 302.

2⁴¹²⁸⁸ is an apocalyptic number.

It is an amenable number.

41288 is an abundant number, since it is smaller than the sum of its proper divisors (42292).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41790).

41288 is a wasteful number, since it uses less digits than its factorization.

41288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 412 counting only the distinct ones).

The product of its digits is 512, while the sum is 23.

The square root of 41288 is about 203.1944881142. The cubic root of 41288 is about 34.5627228365.

The spelling of 41288 in words is "forty-one thousand, two hundred eighty-eight".