59058 has 24 divisors (see below), whose sum is σ = 136188. Its totient is φ = 18432.

The previous prime is 59053. The next prime is 59063. The reversal of 59058 is 85095.

It is an interprime number because it is at equal distance from previous prime (59053) and next prime (59063).

It can be written as a sum of positive squares in 2 ways, for example, as 59049 + 9 = 243^2 + 3^2 .

It is not an unprimeable number, because it can be changed into a prime (59051) by changing a digit.

59058 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, 210 + ... + 402.

59058 is a Friedman number, since it can be written as 9+(8+5^0)^5, using all its digits and the basic arithmetic operations.

2⁵⁹⁰⁵⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 59058, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68094).

59058 is an abundant number, since it is smaller than the sum of its proper divisors (77130).

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

59058 is a wasteful number, since it uses less digits than its factorization.

59058 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 59058 is about 243.0185178129. The cubic root of 59058 is about 38.9427166923.

The spelling of 59058 in words is "fifty-nine thousand, fifty-eight".