205416321 has 16 divisors (see below), whose sum is σ = 316363968. Its totient is φ = 117171200.

The previous prime is 205416313. The next prime is 205416331. The reversal of 205416321 is 123614502.

205416321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 205416321 - 2³ = 205416313 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 205416291 and 205416300.

It is not an unprimeable number, because it can be changed into a prime (205416301) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 182520 + ... + 183641.

It is an arithmetic number, because the mean of its divisors is an integer number (19772748).

Almost surely, 2^205416321 is an apocalyptic number.

It is an amenable number.

205416321 is a deficient number, since it is larger than the sum of its proper divisors (110947647).

205416321 is a wasteful number, since it uses less digits than its factorization.

205416321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366192.

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 205416321 is about 14332.3522493693. The cubic root of 205416321 is about 590.0357356503.

It can be divided in two parts, 20541 and 6321, that added together give a palindrome (26862).

The spelling of 205416321 in words is "two hundred five million, four hundred sixteen thousand, three hundred twenty-one".