54001 has 2 divisors, whose sum is σ = 54002. Its totient is φ = 54000.

The previous prime is 53993. The next prime is 54011. The reversal of 54001 is 10045.

It is an a-pointer prime, because the next prime (54011) can be obtained adding 54001 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., 39601 + 14400 = 199^2 + 120^2 .

It is a cyclic number.

It is not a de Polignac number, because 54001 - 2³ = 53993 is a prime.

It is a super-2 number, since 2×54001² = 5832216002, which contains 22 as substring.

54001 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (54011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 27000 + 27001.

It is an arithmetic number, because the mean of its divisors is an integer number (27001).

2⁵⁴⁰⁰¹ is an apocalyptic number.

It is an amenable number.

54001 is a deficient number, since it is larger than the sum of its proper divisors (1).

54001 is an equidigital number, since it uses as much as digits as its factorization.

54001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20, while the sum is 10.

The square root of 54001 is about 232.3811524199. The cubic root of 54001 is about 37.7978648141.

Adding to 54001 its reverse (10045), we get a palindrome (64046).

Subtracting from 54001 its reverse (10045), we obtain a triangular number (43956 = T₂₉₆).

The spelling of 54001 in words is "fifty-four thousand, one".