41864 has 8 divisors (see below), whose sum is σ = 78510. Its totient is φ = 20928.

The previous prime is 41863. The next prime is 41879. The reversal of 41864 is 46814.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 24964 + 16900 = 158^2 + 130^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 41864.

It is not an unprimeable number, because it can be changed into a prime (41863) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2609 + ... + 2624.

2⁴¹⁸⁶⁴ is an apocalyptic number.

It is an amenable number.

41864 is a deficient number, since it is larger than the sum of its proper divisors (36646).

41864 is a wasteful number, since it uses less digits than its factorization.

41864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5239 (or 5235 counting only the distinct ones).

The product of its digits is 768, while the sum is 23.

The square root of 41864 is about 204.6069402537. The cubic root of 41864 is about 34.7227068614.

Subtracting 41864 from its reverse (46814), we obtain a triangular number (4950 = T₉₉).

The spelling of 41864 in words is "forty-one thousand, eight hundred sixty-four".