53839305 has 24 divisors (see below), whose sum is σ = 100501128. Its totient is φ = 26505216.

The previous prime is 53839277. The next prime is 53839307. The reversal of 53839305 is 50393835.

53839305 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 3415104 + 50424201 = 1848^2 + 7101^2 .

It is not a de Polignac number, because 53839305 - 2⁶ = 53839241 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 53839305.

It is not an unprimeable number, because it can be changed into a prime (53839307) 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, 45432 + ... + 46601.

It is an arithmetic number, because the mean of its divisors is an integer number (4187547).

Almost surely, 2^53839305 is an apocalyptic number.

It is an amenable number.

53839305 is a deficient number, since it is larger than the sum of its proper divisors (46661823).

53839305 is a wasteful number, since it uses less digits than its factorization.

53839305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92057 (or 92054 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 53839305 is about 7337.5271720110. The cubic root of 53839305 is about 377.6010109354.

The spelling of 53839305 in words is "fifty-three million, eight hundred thirty-nine thousand, three hundred five".