41643965 has 24 divisors (see below), whose sum is σ = 58174200. Its totient is φ = 28497920.

The previous prime is 41643949. The next prime is 41643967. The reversal of 41643965 is 56934614.

41643965 = 408² + 409² + ... + 577².

It can be written as a sum of positive squares in 4 ways, for example, as 4507129 + 37136836 = 2123^2 + 6094^2 .

It is not a de Polignac number, because 41643965 - 2⁴ = 41643949 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41643967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8261 + ... + 12309.

It is an arithmetic number, because the mean of its divisors is an integer number (2423925).

Almost surely, 2^41643965 is an apocalyptic number.

It is an amenable number.

41643965 is a deficient number, since it is larger than the sum of its proper divisors (16530235).

41643965 is a wasteful number, since it uses less digits than its factorization.

41643965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4093 (or 4082 counting only the distinct ones).

The product of its digits is 77760, while the sum is 38.

The square root of 41643965 is about 6453.2135405548. The cubic root of 41643965 is about 346.6176639110.

The spelling of 41643965 in words is "forty-one million, six hundred forty-three thousand, nine hundred sixty-five".