993936385 has 16 divisors (see below), whose sum is σ = 1292666256. Its totient is φ = 729301248.

The previous prime is 993936337. The next prime is 993936397. The reversal of 993936385 is 583639399.

It can be written as a sum of positive squares in 8 ways, for example, as 4016016 + 989920369 = 2004^2 + 31463^2 .

It is not a de Polignac number, because 993936385 - 2¹³ = 993928193 is a prime.

It is a Duffinian 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 15 ways as a sum of consecutive naturals, for example, 38494 + ... + 58903.

It is an arithmetic number, because the mean of its divisors is an integer number (80791641).

Almost surely, 2^993936385 is an apocalyptic number.

It is an amenable number.

993936385 is a deficient number, since it is larger than the sum of its proper divisors (298729871).

993936385 is a wasteful number, since it uses less digits than its factorization.

993936385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97572.

The product of its digits is 4723920, while the sum is 55.

The square root of 993936385 is about 31526.7566520884. The cubic root of 993936385 is about 997.9746959125.

The spelling of 993936385 in words is "nine hundred ninety-three million, nine hundred thirty-six thousand, three hundred eighty-five".