53985393 has 64 divisors (see below), whose sum is σ = 104140800. Its totient is φ = 26801280.

The previous prime is 53985391. The next prime is 53985419. The reversal of 53985393 is 39358935.

53985393 is a `hidden beast` number, since 539 + 85 + 39 + 3 = 666.

53985393 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 53985393 - 2¹ = 53985391 is a prime.

It is not an unprimeable number, because it can be changed into a prime (53985391) 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 63 ways as a sum of consecutive naturals, for example, 47253 + ... + 48381.

It is an arithmetic number, because the mean of its divisors is an integer number (1627200).

Almost surely, 2^53985393 is an apocalyptic number.

It is an amenable number.

53985393 is a deficient number, since it is larger than the sum of its proper divisors (50155407).

53985393 is a wasteful number, since it uses less digits than its factorization.

53985393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1179 (or 1173 counting only the distinct ones).

The product of its digits is 437400, while the sum is 45.

The square root of 53985393 is about 7347.4752806661. The cubic root of 53985393 is about 377.9422310306.

The spelling of 53985393 in words is "fifty-three million, nine hundred eighty-five thousand, three hundred ninety-three".