54538 has 16 divisors (see below), whose sum is σ = 93024. Its totient is φ = 23760.

The previous prime is 54521. The next prime is 54539. The reversal of 54538 is 83545.

It is a happy number.

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (54539) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 781 + ... + 847.

It is an arithmetic number, because the mean of its divisors is an integer number (5814).

2⁵⁴⁵³⁸ is an apocalyptic number.

54538 is the 148-th heptagonal number.

54538 is a deficient number, since it is larger than the sum of its proper divisors (38486).

54538 is a wasteful number, since it uses less digits than its factorization.

54538 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117.

The product of its digits is 2400, while the sum is 25.

The square root of 54538 is about 233.5337234748. The cubic root of 54538 is about 37.9227423880.

The spelling of 54538 in words is "fifty-four thousand, five hundred thirty-eight".