305101 has 2 divisors, whose sum is σ = 305102. Its totient is φ = 305100.

The previous prime is 305093. The next prime is 305111. The reversal of 305101 is 101503.

It is the 226-th star number.

It is an a-pointer prime, because the next prime (305111) can be obtained adding 305101 to its sum of digits (10).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 302500 + 2601 = 550^2 + 51^2 .

It is an emirp because it is prime and its reverse (101503) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 305101 - 2³ = 305093 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (305111) 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 as a sum of consecutive naturals, namely, 152550 + 152551.

It is an arithmetic number, because the mean of its divisors is an integer number (152551).

2³⁰⁵¹⁰¹ is an apocalyptic number.

It is an amenable number.

305101 is a deficient number, since it is larger than the sum of its proper divisors (1).

305101 is an equidigital number, since it uses as much as digits as its factorization.

305101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15, while the sum is 10.

The square root of 305101 is about 552.3594843940. The cubic root of 305101 is about 67.3205843479.

Adding to 305101 its reverse (101503), we get a palindrome (406604).

It can be divided in two parts, 305 and 101, that added together give a triangular number (406 = T₂₈).

The spelling of 305101 in words is "three hundred five thousand, one hundred one".