54361 has 2 divisors, whose sum is σ = 54362. Its totient is φ = 54360.

The previous prime is 54347. The next prime is 54367. The reversal of 54361 is 16345.

54361 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 47961 + 6400 = 219^2 + 80^2 .

It is a cyclic number.

It is not a de Polignac number, because 54361 - 2⁹ = 53849 is a prime.

It is a Chen prime.

It is an alternating number because its digits alternate between odd and even.

It is not a weakly prime, because it can be changed into another prime (54367) by changing a digit.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 27180 + 27181.

It is an arithmetic number, because the mean of its divisors is an integer number (27181).

2⁵⁴³⁶¹ is an apocalyptic number.

It is an amenable number.

54361 is a deficient number, since it is larger than the sum of its proper divisors (1).

54361 is an equidigital number, since it uses as much as digits as its factorization.

54361 is an evil number, because the sum of its binary digits is even.

The product of its digits is 360, while the sum is 19.

The square root of 54361 is about 233.1544552437. The cubic root of 54361 is about 37.8816725528.

The spelling of 54361 in words is "fifty-four thousand, three hundred sixty-one".