39105385 has 24 divisors (see below), whose sum is σ = 52141320. Its totient is φ = 28131840.

The previous prime is 39105379. The next prime is 39105433. The reversal of 39105385 is 58350193.

39105385 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 4 ways, for example, as 8369449 + 30735936 = 2893^2 + 5544^2 .

It is a de Polignac number, because none of the positive numbers 2^k-39105385 is a prime.

It is a super-2 number, since 2×39105385² = 3058462271996450, which contains 22 as substring.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 39105385.

It is a congruent number.

It is an unprimeable number.

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, 65649 + ... + 66241.

It is an arithmetic number, because the mean of its divisors is an integer number (2172555).

Almost surely, 2^39105385 is an apocalyptic number.

It is an amenable number.

39105385 is a deficient number, since it is larger than the sum of its proper divisors (13035935).

39105385 is a wasteful number, since it uses less digits than its factorization.

39105385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 34.

The square root of 39105385 is about 6253.4298588854. The cubic root of 39105385 is about 339.4263249819.

The spelling of 39105385 in words is "thirty-nine million, one hundred five thousand, three hundred eighty-five".