36258 has 8 divisors (see below), whose sum is σ = 72528. Its totient is φ = 12084.

The previous prime is 36251. The next prime is 36263. The reversal of 36258 is 85263.

It is a sphenic number, since it is the product of 3 distinct primes.

36258 is an admirable number.

It is a d-powerful number, because it can be written as 3⁷ + 6⁴ + 2 + 5 + 8⁵ .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 36258.

It is not an unprimeable number, because it can be changed into a prime (36251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3016 + ... + 3027.

It is an arithmetic number, because the mean of its divisors is an integer number (9066).

2³⁶²⁵⁸ is an apocalyptic number.

36258 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (36264).

36258 is a wasteful number, since it uses less digits than its factorization.

36258 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6048.

The product of its digits is 1440, while the sum is 24.

The square root of 36258 is about 190.4153355169. The cubic root of 36258 is about 33.0979641747.

The spelling of 36258 in words is "thirty-six thousand, two hundred fifty-eight".