41892 has 12 divisors (see below), whose sum is σ = 97776. Its totient is φ = 13960.

The previous prime is 41887. The next prime is 41893. The reversal of 41892 is 29814.

It is a tau number, because it is divible by the number of its divisors (12).

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors.

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 41892.

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

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, 1734 + ... + 1757.

It is an arithmetic number, because the mean of its divisors is an integer number (8148).

2⁴¹⁸⁹² is an apocalyptic number.

It is an amenable number.

41892 is an abundant number, since it is smaller than the sum of its proper divisors (55884).

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 (48888).

41892 is a wasteful number, since it uses less digits than its factorization.

41892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3498 (or 3496 counting only the distinct ones).

The product of its digits is 576, while the sum is 24.

The square root of 41892 is about 204.6753526930. The cubic root of 41892 is about 34.7304463601.

The spelling of 41892 in words is "forty-one thousand, eight hundred ninety-two".