205347324 has 96 divisors (see below), whose sum is σ = 602413056. Its totient is φ = 52992000.

The previous prime is 205347323. The next prime is 205347343. The reversal of 205347324 is 423743502.

It is a junction number, because it is equal to n+sod(n) for n = 205347291 and 205347300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205347323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49324 + ... + 53324.

It is an arithmetic number, because the mean of its divisors is an integer number (6275136).

Almost surely, 2^205347324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205347324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301206528).

205347324 is an abundant number, since it is smaller than the sum of its proper divisors (397065732).

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

205347324 is a wasteful number, since it uses less digits than its factorization.

205347324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4075 (or 4073 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 30.

The square root of 205347324 is about 14329.9450103620. The cubic root of 205347324 is about 589.9696661605.

The spelling of 205347324 in words is "two hundred five million, three hundred forty-seven thousand, three hundred twenty-four".