36005641 has 12 divisors (see below), whose sum is σ = 42071700. Its totient is φ = 30723840.

The previous prime is 36005639. The next prime is 36005653. The reversal of 36005641 is 14650063.

It can be written as a sum of positive squares in 2 ways, for example, as 14661241 + 21344400 = 3829^2 + 4620^2 .

It is not a de Polignac number, because 36005641 - 2¹ = 36005639 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (36005341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10285 + ... + 13333.

It is an arithmetic number, because the mean of its divisors is an integer number (3505975).

Almost surely, 2^36005641 is an apocalyptic number.

It is an amenable number.

36005641 is a deficient number, since it is larger than the sum of its proper divisors (6066059).

36005641 is a wasteful number, since it uses less digits than its factorization.

36005641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3304 (or 3297 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 36005641 is about 6000.4700649199. The cubic root of 36005641 is about 330.2099704439.

The spelling of 36005641 in words is "thirty-six million, five thousand, six hundred forty-one".