301361 has 2 divisors, whose sum is σ = 301362. Its totient is φ = 301360.

The previous prime is 301349. The next prime is 301363. The reversal of 301361 is 163103.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 185761 + 115600 = 431^2 + 340^2 .

It is a cyclic number.

It is not a de Polignac number, because 301361 - 2¹⁸ = 39217 is a prime.

Together with 301363, it forms a pair of twin primes.

It is a Chen prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 301361.

It is not a weakly prime, because it can be changed into another prime (301363) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 150680 + 150681.

It is an arithmetic number, because the mean of its divisors is an integer number (150681).

2³⁰¹³⁶¹ is an apocalyptic number.

It is an amenable number.

301361 is a deficient number, since it is larger than the sum of its proper divisors (1).

301361 is an equidigital number, since it uses as much as digits as its factorization.

301361 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 301361 is about 548.9635689187. The cubic root of 301361 is about 67.0443754442.

Adding to 301361 its reverse (163103), we get a palindrome (464464).

The spelling of 301361 in words is "three hundred one thousand, three hundred sixty-one".