39964005 has 24 divisors (see below), whose sum is σ = 69476472. Its totient is φ = 21250944.

The previous prime is 39964003. The next prime is 39964007. The reversal of 39964005 is 50046993.

39964005 is a `hidden beast` number, since 3 + 9 + 9 + 640 + 0 + 5 = 666.

39964005 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (39964003) and next prime (39964007).

It can be written as a sum of positive squares in 4 ways, for example, as 11512449 + 28451556 = 3393^2 + 5334^2 .

It is not a de Polignac number, because 39964005 - 2¹ = 39964003 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39964003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16747 + ... + 18983.

It is an arithmetic number, because the mean of its divisors is an integer number (2894853).

Almost surely, 2^39964005 is an apocalyptic number.

It is an amenable number.

39964005 is a deficient number, since it is larger than the sum of its proper divisors (29512467).

39964005 is a wasteful number, since it uses less digits than its factorization.

39964005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2645 (or 2642 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 39964005 is about 6321.7090252557. The cubic root of 39964005 is about 341.8925742419.

It can be divided in two parts, 3996 and 4005, that added together give a triangular number (8001 = T₁₂₆).

The spelling of 39964005 in words is "thirty-nine million, nine hundred sixty-four thousand, five".