41564065 has 16 divisors (see below), whose sum is σ = 53056080. Its totient is φ = 31150080.

The previous prime is 41564063. The next prime is 41564069. The reversal of 41564065 is 56046514.

It can be written as a sum of positive squares in 8 ways, for example, as 11621281 + 29942784 = 3409^2 + 5472^2 .

It is not a de Polignac number, because 41564065 - 2¹ = 41564063 is a prime.

It is not an unprimeable number, because it can be changed into a prime (41564063) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19471 + ... + 21499.

It is an arithmetic number, because the mean of its divisors is an integer number (3316005).

Almost surely, 2^41564065 is an apocalyptic number.

It is an amenable number.

41564065 is a deficient number, since it is larger than the sum of its proper divisors (11492015).

41564065 is a wasteful number, since it uses less digits than its factorization.

41564065 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2292.

The product of its (nonzero) digits is 14400, while the sum is 31.

The square root of 41564065 is about 6447.0198541652. The cubic root of 41564065 is about 346.3958431951.

The spelling of 41564065 in words is "forty-one million, five hundred sixty-four thousand, sixty-five".