54537 has 16 divisors (see below), whose sum is σ = 86400. Its totient is φ = 30576.

The previous prime is 54521. The next prime is 54539. The reversal of 54537 is 73545.

It is not a de Polignac number, because 54537 - 2⁴ = 54521 is a prime.

54537 is a lucky number.

It is a plaindrome in base 15.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 54537.

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 15 ways as a sum of consecutive naturals, for example, 1003 + ... + 1055.

It is an arithmetic number, because the mean of its divisors is an integer number (5400).

2⁵⁴⁵³⁷ is an apocalyptic number.

It is an amenable number.

54537 is a deficient number, since it is larger than the sum of its proper divisors (31863).

54537 is an equidigital number, since it uses as much as digits as its factorization.

54537 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 63 counting only the distinct ones).

The product of its digits is 2100, while the sum is 24.

The square root of 54537 is about 233.5315824466. The cubic root of 54537 is about 37.9225106048.

It can be divided in two parts, 5453 and 7, that added together give a triangular number (5460 = T₁₀₄).

The spelling of 54537 in words is "fifty-four thousand, five hundred thirty-seven".