54594 has 20 divisors (see below), whose sum is σ = 122694. Its totient is φ = 18144.

The previous prime is 54583. The next prime is 54601. The reversal of 54594 is 49545.

It can be written as a sum of positive squares in only one way, i.e., 50625 + 3969 = 225^2 + 63^2 .

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a plaindrome in base 15.

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

54594 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 9 ways as a sum of consecutive naturals, for example, 7 + ... + 330.

2⁵⁴⁵⁹⁴ is an apocalyptic number.

54594 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 54594, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61347).

54594 is an abundant number, since it is smaller than the sum of its proper divisors (68100).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

54594 is a wasteful number, since it uses less digits than its factorization.

54594 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 342 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 54594 is about 233.6535897434. The cubic root of 54594 is about 37.9357177271.

The spelling of 54594 in words is "fifty-four thousand, five hundred ninety-four".