305901 has 12 divisors (see below), whose sum is σ = 453180. Its totient is φ = 198720.

The previous prime is 305873. The next prime is 305917. The reversal of 305901 is 109503.

It can be written as a sum of positive squares in 2 ways, for example, as 81225 + 224676 = 285^2 + 474^2 .

It is not a de Polignac number, because 305901 - 2¹⁷ = 174829 is a prime.

It is an Ulam number.

It is a Curzon number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 305901.

It is not an unprimeable number, because it can be changed into a prime (305971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46 + ... + 783.

It is an arithmetic number, because the mean of its divisors is an integer number (37765).

2³⁰⁵⁹⁰¹ is an apocalyptic number.

It is an amenable number.

305901 is a deficient number, since it is larger than the sum of its proper divisors (147279).

305901 is a wasteful number, since it uses less digits than its factorization.

305901 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 876 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 18.

The square root of 305901 is about 553.0831763849. The cubic root of 305901 is about 67.3793730374.

The spelling of 305901 in words is "three hundred five thousand, nine hundred one".