54181 has 2 divisors, whose sum is σ = 54182. Its totient is φ = 54180.

The previous prime is 54167. The next prime is 54193. The reversal of 54181 is 18145.

54181 is nontrivially palindromic in base 6.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 28900 + 25281 = 170^2 + 159^2 .

It is a cyclic number.

It is not a de Polignac number, because 54181 - 2^{13} = 45989 is a prime.

It is a super-2 number, since 2×54181^{2} = 5871161522, which contains 22 as substring.

It is a Chen prime.

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

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (54101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 27090 + 27091.

It is an arithmetic number, because the mean of its divisors is an integer number (27091).

2^{54181} is an apocalyptic number.

It is an amenable number.

54181 is a deficient number, since it is larger than the sum of its proper divisors (1).

54181 is an equidigital number, since it uses as much as digits as its factorization.

54181 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 160, while the sum is 19.

The square root of 54181 is about 232.7681249656. The cubic root of 54181 is about 37.8398150879.

It can be divided in two parts, 5 and 4181, that added together give a triangular number (4186 = T_{91}).

The spelling of 54181 in words is "fifty-four thousand, one hundred eighty-one".

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