41895 has 36 divisors (see below), whose sum is σ = 88920. Its totient is φ = 18144.

The previous prime is 41893. The next prime is 41897. The reversal of 41895 is 59814.

It is an interprime number because it is at equal distance from previous prime (41893) and next prime (41897).

It is not a de Polignac number, because 41895 - 2¹ = 41893 is a prime.

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41893) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2196 + ... + 2214.

It is an arithmetic number, because the mean of its divisors is an integer number (2470).

2⁴¹⁸⁹⁵ is an apocalyptic number.

41895 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

41895 is an abundant number, since it is smaller than the sum of its proper divisors (47025).

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 (44460).

41895 is a wasteful number, since it uses less digits than its factorization.

41895 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44 (or 34 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 41895 is about 204.6826812410. The cubic root of 41895 is about 34.7312753875.

The spelling of 41895 in words is "forty-one thousand, eight hundred ninety-five".