54401 has 2 divisors, whose sum is σ = 54402. Its totient is φ = 54400.

The previous prime is 54377. The next prime is 54403. The reversal of 54401 is 10445.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 50176 + 4225 = 224^2 + 65^2 .

It is a cyclic number.

It is not a de Polignac number, because 54401 - 2¹⁰ = 53377 is a prime.

It is a Sophie Germain prime.

Together with 54403, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a plaindrome in base 15.

It is a zygodrome in base 15.

It is not a weakly prime, because it can be changed into another prime (54403) 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, 27200 + 27201.

It is an arithmetic number, because the mean of its divisors is an integer number (27201).

2⁵⁴⁴⁰¹ is an apocalyptic number.

It is an amenable number.

54401 is a deficient number, since it is larger than the sum of its proper divisors (1).

54401 is an equidigital number, since it uses as much as digits as its factorization.

54401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 54401 is about 233.2402195163. The cubic root of 54401 is about 37.8909616596.

Adding to 54401 its reverse (10445), we get a palindrome (64846).

Subtracting from 54401 its reverse (10445), we obtain a triangular number (43956 = T₂₉₆).

The spelling of 54401 in words is "fifty-four thousand, four hundred one".