54591 has 8 divisors (see below), whose sum is σ = 75264. Its totient is φ = 35160.

The previous prime is 54583. The next prime is 54601. The reversal of 54591 is 19545.

54591 = 26² + 27² + ... + 56².

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 54591 - 2³ = 54583 is a prime.

54591 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 201 + ... + 386.

It is an arithmetic number, because the mean of its divisors is an integer number (9408).

2⁵⁴⁵⁹¹ is an apocalyptic number.

54591 is a deficient number, since it is larger than the sum of its proper divisors (20673).

54591 is a wasteful number, since it uses less digits than its factorization.

54591 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621.

The product of its digits is 900, while the sum is 24.

The square root of 54591 is about 233.6471698951. The cubic root of 54591 is about 37.9350228446.

Adding to 54591 its sum of digits (24), we get a triangular number (54615 = T₃₃₀).

It can be divided in two parts, 5459 and 1, that added together give a triangular number (5460 = T₁₀₄).

The spelling of 54591 in words is "fifty-four thousand, five hundred ninety-one".