59008 has 16 divisors (see below), whose sum is σ = 117810. Its totient is φ = 29440.

The previous prime is 58997. The next prime is 59009. The reversal of 59008 is 80095.

It can be written as a sum of positive squares in only one way, i.e., 53824 + 5184 = 232^2 + 72^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is a nialpdrome in base 3 and base 9.

It is a zygodrome in base 3 and base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 59008.

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

59008 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 as a sum of consecutive naturals, namely, 103 + ... + 358.

2⁵⁹⁰⁰⁸ is an apocalyptic number.

It is an amenable number.

59008 is a deficient number, since it is larger than the sum of its proper divisors (58802).

59008 is an equidigital number, since it uses as much as digits as its factorization.

59008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 22.

The square root of 59008 is about 242.9156232110. The cubic root of 59008 is about 38.9317236256.

The spelling of 59008 in words is "fifty-nine thousand, eight".