41632 has 12 divisors (see below), whose sum is σ = 82026. Its totient is φ = 20800.

The previous prime is 41627. The next prime is 41641. The reversal of 41632 is 23614.

It can be written as a sum of positive squares in only one way, i.e., 41616 + 16 = 204^2 + 4^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a fibodiv number, since the Fibonacci-like sequence with seeds 416 and 32 contains 41632 itself.

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

It is a plaindrome in base 14.

It is an unprimeable number.

41632 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 as a sum of consecutive naturals, namely, 619 + ... + 682.

2⁴¹⁶³² is an apocalyptic number.

It is an amenable number.

41632 is a deficient number, since it is larger than the sum of its proper divisors (40394).

41632 is a wasteful number, since it uses less digits than its factorization.

41632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1311 (or 1303 counting only the distinct ones).

The product of its digits is 144, while the sum is 16.

The square root of 41632 is about 204.0392119177. The cubic root of 41632 is about 34.6584464402.

Subtracting from 41632 its sum of digits (16), we obtain a triangular number (41616 = T₂₈₈).

The spelling of 41632 in words is "forty-one thousand, six hundred thirty-two".