41964 has 24 divisors (see below), whose sum is σ = 105840. Its totient is φ = 12864.

The previous prime is 41959. The next prime is 41969. The reversal of 41964 is 46914.

It is an interprime number because it is at equal distance from previous prime (41959) and next prime (41969).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 41964.

It is not an unprimeable number, because it can be changed into a prime (41969) 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, 22 + ... + 290.

It is an arithmetic number, because the mean of its divisors is an integer number (4410).

2⁴¹⁹⁶⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52920).

41964 is an abundant number, since it is smaller than the sum of its proper divisors (63876).

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

41964 is a wasteful number, since it uses less digits than its factorization.

41964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 287 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

The square root of 41964 is about 204.8511654836. The cubic root of 41964 is about 34.7503321052.

Subtracting 41964 from its reverse (46914), we obtain a triangular number (4950 = T₉₉).

The spelling of 41964 in words is "forty-one thousand, nine hundred sixty-four".