41564 has 6 divisors (see below), whose sum is σ = 72744. Its totient is φ = 20780.

The previous prime is 41549. The next prime is 41579. The reversal of 41564 is 46514.

It is a happy number.

41564 is nontrivially palindromic in base 3.

It is an interprime number because it is at equal distance from previous prime (41549) and next prime (41579).

It is an Ulam number.

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 41564.

It is an unprimeable number.

41564 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 as a sum of consecutive naturals, namely, 5192 + ... + 5199.

It is an arithmetic number, because the mean of its divisors is an integer number (12124).

2⁴¹⁵⁶⁴ is an apocalyptic number.

It is an amenable number.

41564 is a deficient number, since it is larger than the sum of its proper divisors (31180).

41564 is a wasteful number, since it uses less digits than its factorization.

41564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10395 (or 10393 counting only the distinct ones).

The product of its digits is 480, while the sum is 20.

The square root of 41564 is about 203.8725091816. The cubic root of 41564 is about 34.6395662625.

Subtracting 41564 from its reverse (46514), we obtain a triangular number (4950 = T₉₉).

The spelling of 41564 in words is "forty-one thousand, five hundred sixty-four".