54301 has 4 divisors (see below), whose sum is σ = 58492. Its totient is φ = 50112.

The previous prime is 54293. The next prime is 54311. The reversal of 54301 is 10345.

54301 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 10345 = 5 ⋅2069.

It can be written as a sum of positive squares in 2 ways, for example, as 30276 + 24025 = 174^2 + 155^2 .

It is a cyclic number.

It is not a de Polignac number, because 54301 - 2³ = 54293 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13), and also a Moran number because the ratio is a prime number: 4177 = 54301 / (5 + 4 + 3 + 0 + 1).

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

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54311) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2076 + ... + 2101.

It is an arithmetic number, because the mean of its divisors is an integer number (14623).

2⁵⁴³⁰¹ is an apocalyptic number.

It is an amenable number.

54301 is a deficient number, since it is larger than the sum of its proper divisors (4191).

54301 is a wasteful number, since it uses less digits than its factorization.

54301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4190.

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 54301 is about 233.0257496501. The cubic root of 54301 is about 37.8677303449.

Adding to 54301 its reverse (10345), we get a palindrome (64646).

Subtracting from 54301 its reverse (10345), we obtain a triangular number (43956 = T₂₉₆).

The spelling of 54301 in words is "fifty-four thousand, three hundred one".