41652 has 36 divisors (see below), whose sum is σ = 114660. Its totient is φ = 12672.

The previous prime is 41651. The next prime is 41659. The reversal of 41652 is 25614.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 7056 + 34596 = 84^2 + 186^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 (41651) 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 11 ways as a sum of consecutive naturals, for example, 424 + ... + 512.

It is an arithmetic number, because the mean of its divisors is an integer number (3185).

2⁴¹⁶⁵² 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 41652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57330).

41652 is an abundant number, since it is smaller than the sum of its proper divisors (73008).

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

41652 is a wasteful number, since it uses less digits than its factorization.

41652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 107 counting only the distinct ones).

The product of its digits is 240, while the sum is 18.

The square root of 41652 is about 204.0882162203. The cubic root of 41652 is about 34.6639955207.

The spelling of 41652 in words is "forty-one thousand, six hundred fifty-two".