41552 has 30 divisors (see below), whose sum is σ = 95418. Its totient is φ = 17472.

The previous prime is 41549. The next prime is 41579. The reversal of 41552 is 25514.

It can be written as a sum of positive squares in only one way, i.e., 38416 + 3136 = 196^2 + 56^2 .

It is a hoax number, since the sum of its digits (17) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 41552.

It is a congruent number.

It is an unprimeable 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 5 ways as a sum of consecutive naturals, for example, 758 + ... + 810.

2⁴¹⁵⁵² 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 41552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47709).

41552 is an abundant number, since it is smaller than the sum of its proper divisors (53866).

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

41552 is a wasteful number, since it uses less digits than its factorization.

41552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 62 counting only the distinct ones).

The product of its digits is 200, while the sum is 17.

The square root of 41552 is about 203.8430768999. The cubic root of 41552 is about 34.6362323292.

The spelling of 41552 in words is "forty-one thousand, five hundred fifty-two".