54517 has 2 divisors, whose sum is σ = 54518. Its totient is φ = 54516.

The previous prime is 54503. The next prime is 54521. The reversal of 54517 is 71545.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 53361 + 1156 = 231^2 + 34^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-54517 is a prime.

54517 is a lucky number.

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 (54547) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 27258 + 27259.

It is an arithmetic number, because the mean of its divisors is an integer number (27259).

2⁵⁴⁵¹⁷ is an apocalyptic number.

It is an amenable number.

54517 is a deficient number, since it is larger than the sum of its proper divisors (1).

54517 is an equidigital number, since it uses as much as digits as its factorization.

54517 is an evil number, because the sum of its binary digits is even.

The product of its digits is 700, while the sum is 22.

The square root of 54517 is about 233.4887577593. The cubic root of 54517 is about 37.9178743460.

The spelling of 54517 in words is "fifty-four thousand, five hundred seventeen".