54581 has 2 divisors, whose sum is σ = 54582. Its totient is φ = 54580.

The previous prime is 54577. The next prime is 54583. The reversal of 54581 is 18545.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 52900 + 1681 = 230^2 + 41^2 .

It is a cyclic number.

It is not a de Polignac number, because 54581 - 2² = 54577 is a prime.

It is a super-2 number, since 2×54581² = 5958171122, which contains 22 as substring.

Together with 54583, it forms a pair of twin primes.

It is a Chen prime.

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

It is a plaindrome in base 15.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (54583) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 27290 + 27291.

It is an arithmetic number, because the mean of its divisors is an integer number (27291).

2⁵⁴⁵⁸¹ is an apocalyptic number.

It is an amenable number.

54581 is a deficient number, since it is larger than the sum of its proper divisors (1).

54581 is an equidigital number, since it uses as much as digits as its factorization.

54581 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 800, while the sum is 23.

The square root of 54581 is about 233.6257691266. The cubic root of 54581 is about 37.9327063859.

It can be divided in two parts, 545 and 81, that added together give a palindrome (626).

The spelling of 54581 in words is "fifty-four thousand, five hundred eighty-one".