59004 has 36 divisors (see below), whose sum is σ = 163800. Its totient is φ = 17760.

The previous prime is 58997. The next prime is 59009. The reversal of 59004 is 40095.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 3 and base 9.

It is a zygodrome in base 2 and base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (59009) by changing a digit.

59004 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 322 + ... + 470.

It is an arithmetic number, because the mean of its divisors is an integer number (4550).

2⁵⁹⁰⁰⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 59004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81900).

59004 is an abundant number, since it is smaller than the sum of its proper divisors (104796).

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

59004 is a wasteful number, since it uses less digits than its factorization.

59004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 59004 is about 242.9073897600. The cubic root of 59004 is about 38.9308439121.

Adding to 59004 its reverse (40095), we get a palindrome (99099).

It can be divided in two parts, 5 and 9004, that added together give a palindrome (9009).

The spelling of 59004 in words is "fifty-nine thousand, four".