258084 has 36 divisors (see below), whose sum is σ = 668304. Its totient is φ = 83952.

The previous prime is 258067. The next prime is 258101. The reversal of 258084 is 480852.

258084 = T₂₅₀ + T₂₅₁ + ... + T₂₅₇.

258084 is a `hidden beast` number, since 2 + 580 + 84 = 666.

It is an interprime number because it is at equal distance from previous prime (258067) and next prime (258101).

It is a tau number, because it is divible by the number of its divisors (36).

It is a zygodrome in base 8.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 258084.

It is an unprimeable number.

258084 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, 2359 + ... + 2465.

It is an arithmetic number, because the mean of its divisors is an integer number (18564).

2²⁵⁸⁰⁸⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334152).

258084 is an abundant number, since it is smaller than the sum of its proper divisors (410220).

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

258084 is a wasteful number, since it uses less digits than its factorization.

258084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 258084 is about 508.0196846580. The cubic root of 258084 is about 63.6678757967.

The spelling of 258084 in words is "two hundred fifty-eight thousand, eighty-four".