205237328 has 20 divisors (see below), whose sum is σ = 421038900. Its totient is φ = 96582144.

The previous prime is 205237313. The next prime is 205237343. The reversal of 205237328 is 823732502.

205237328 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (205237313) and next prime (205237343).

It can be written as a sum of positive squares in 2 ways, for example, as 101767744 + 103469584 = 10088^2 + 10172^2 .

It is a junction number, because it is equal to n+sod(n) for n = 205237294 and 205237303.

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 3 ways as a sum of consecutive naturals, for example, 377003 + ... + 377546.

It is an arithmetic number, because the mean of its divisors is an integer number (21051945).

Almost surely, 2^205237328 is an apocalyptic number.

It is an amenable number.

205237328 is an abundant number, since it is smaller than the sum of its proper divisors (215801572).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

205237328 is a wasteful number, since it uses less digits than its factorization.

205237328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754574 (or 754568 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The square root of 205237328 is about 14326.1065192187. The cubic root of 205237328 is about 589.8643066284.

The spelling of 205237328 in words is "two hundred five million, two hundred thirty-seven thousand, three hundred twenty-eight".