39805137 has 12 divisors (see below), whose sum is σ = 58899204. Its totient is φ = 25889280.

The previous prime is 39805121. The next prime is 39805141. The reversal of 39805137 is 73150893.

39805137 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 22240656 + 17564481 = 4716^2 + 4191^2 .

It is not a de Polignac number, because 39805137 - 2⁴ = 39805121 is a prime.

It is not an unprimeable number, because it can be changed into a prime (39805237) 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 11 ways as a sum of consecutive naturals, for example, 53568 + ... + 54305.

It is an arithmetic number, because the mean of its divisors is an integer number (4908267).

Almost surely, 2^39805137 is an apocalyptic number.

It is an amenable number.

39805137 is a deficient number, since it is larger than the sum of its proper divisors (19094067).

39805137 is a wasteful number, since it uses less digits than its factorization.

39805137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107920 (or 107917 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 39805137 is about 6309.1312397191. The cubic root of 39805137 is about 341.4389333360.

The spelling of 39805137 in words is "thirty-nine million, eight hundred five thousand, one hundred thirty-seven".