305201 has 8 divisors (see below), whose sum is σ = 348264. Its totient is φ = 264960.

The previous prime is 305147. The next prime is 305209. The reversal of 305201 is 102503.

It can be written as a sum of positive squares in 4 ways, for example, as 30625 + 274576 = 175^2 + 524^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 305201 - 2¹⁴ = 288817 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (305209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 470 + ... + 911.

It is an arithmetic number, because the mean of its divisors is an integer number (43533).

2³⁰⁵²⁰¹ is an apocalyptic number.

It is an amenable number.

305201 is a deficient number, since it is larger than the sum of its proper divisors (43063).

305201 is a wasteful number, since it uses less digits than its factorization.

305201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1411.

The product of its (nonzero) digits is 30, while the sum is 11.

The square root of 305201 is about 552.4499977374. The cubic root of 305201 is about 67.3279385498.

Adding to 305201 its reverse (102503), we get a palindrome (407704).

The spelling of 305201 in words is "three hundred five thousand, two hundred one".