32058 has 24 divisors (see below), whose sum is σ = 75348. Its totient is φ = 9792.

The previous prime is 32057. The next prime is 32059. The reversal of 32058 is 85023.

It is an interprime number because it is at equal distance from previous prime (32057) and next prime (32059).

It can be written as a sum of positive squares in 2 ways, for example, as 31329 + 729 = 177^2 + 27^2 .

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

It is a nialpdrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 32058.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 32058.

It is not an unprimeable number, because it can be changed into a prime (32051) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 166 + ... + 302.

2³²⁰⁵⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32058, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37674).

32058 is an abundant number, since it is smaller than the sum of its proper divisors (43290).

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

32058 is a wasteful number, since it uses less digits than its factorization.

32058 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 32058 is about 179.0474797365. The cubic root of 32058 is about 31.7671905585.

It can be divided in two parts, 320 and 58, that added together give a triangular number (378 = T₂₇).

The spelling of 32058 in words is "thirty-two thousand, fifty-eight".