41730 has 32 divisors (see below), whose sum is σ = 108864. Its totient is φ = 10176.

The previous prime is 41729. The next prime is 41737. The reversal of 41730 is 3714.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a nialpdrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (41737) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 337 + ... + 443.

It is an arithmetic number, because the mean of its divisors is an integer number (3402).

2⁴¹⁷³⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54432).

41730 is an abundant number, since it is smaller than the sum of its proper divisors (67134).

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

41730 is a wasteful number, since it uses less digits than its factorization.

41730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130.

The product of its (nonzero) digits is 84, while the sum is 15.

The square root of 41730 is about 204.2792206760. The cubic root of 41730 is about 34.6856199776.

Adding to 41730 its product of nonzero digits (84), we get a palindrome (41814).

The spelling of 41730 in words is "forty-one thousand, seven hundred thirty".