41754 has 8 divisors (see below), whose sum is σ = 83520. Its totient is φ = 13916.

The previous prime is 41737. The next prime is 41759. The reversal of 41754 is 45714.

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

41754 is an admirable number.

It is a self number, because there is not a number n which added to its sum of digits gives 41754.

It is not an unprimeable number, because it can be changed into a prime (41759) by changing a digit.

41754 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 (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3474 + ... + 3485.

It is an arithmetic number, because the mean of its divisors is an integer number (10440).

2⁴¹⁷⁵⁴ is an apocalyptic number.

41754 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41760).

41754 is a wasteful number, since it uses less digits than its factorization.

41754 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6964.

The product of its digits is 560, while the sum is 21.

The square root of 41754 is about 204.3379553583. The cubic root of 41754 is about 34.6922682350.

The spelling of 41754 in words is "forty-one thousand, seven hundred fifty-four".