41633 has 8 divisors (see below), whose sum is σ = 46080. Its totient is φ = 37440.

The previous prime is 41627. The next prime is 41641. The reversal of 41633 is 33614.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 41633 - 2⁴ = 41617 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a Curzon number.

It is a plaindrome in base 14.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 41633.

It is not an unprimeable number, because it can be changed into a prime (41603) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 488 + ... + 566.

It is an arithmetic number, because the mean of its divisors is an integer number (5760).

2⁴¹⁶³³ is an apocalyptic number.

It is an amenable number.

41633 is a deficient number, since it is larger than the sum of its proper divisors (4447).

41633 is a wasteful number, since it uses less digits than its factorization.

41633 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127.

The product of its digits is 216, while the sum is 17.

The square root of 41633 is about 204.0416624124. The cubic root of 41633 is about 34.6587239364.

Subtracting from 41633 its sum of digits (17), we obtain a triangular number (41616 = T₂₈₈).

The spelling of 41633 in words is "forty-one thousand, six hundred thirty-three".