58542 has 16 divisors (see below), whose sum is σ = 127872. Its totient is φ = 17720.

The previous prime is 58537. The next prime is 58543. The reversal of 58542 is 24585.

58542 = T₂₈ + T₂₉ + ... + T₇₁.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58543) by changing a digit.

58542 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 7 ways as a sum of consecutive naturals, for example, 378 + ... + 509.

It is an arithmetic number, because the mean of its divisors is an integer number (7992).

2⁵⁸⁵⁴² is an apocalyptic number.

58542 is an abundant number, since it is smaller than the sum of its proper divisors (69330).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63936).

58542 is a wasteful number, since it uses less digits than its factorization.

58542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 903.

The product of its digits is 1600, while the sum is 24.

The square root of 58542 is about 241.9545411849. The cubic root of 58542 is about 38.8289683408.

The spelling of 58542 in words is "fifty-eight thousand, five hundred forty-two".