59130 has 40 divisors (see below), whose sum is σ = 161172. Its totient is φ = 15552.

The previous prime is 59123. The next prime is 59141. The reversal of 59130 is 3195.

It can be written as a sum of positive squares in 2 ways, for example, as 59049 + 81 = 243^2 + 9^2 .

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

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 774 + ... + 846.

2⁵⁹¹³⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 59130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80586).

59130 is an abundant number, since it is smaller than the sum of its proper divisors (102042).

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

59130 is a wasteful number, since it uses less digits than its factorization.

59130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 18.

The square root of 59130 is about 243.1666095499. The cubic root of 59130 is about 38.9585358132.

The spelling of 59130 in words is "fifty-nine thousand, one hundred thirty".