3258 has 12 divisors (see below), whose sum is σ = 7098. Its totient is φ = 1080.

The previous prime is 3257. The next prime is 3259. The reversal of 3258 is 8523.

Added to its reverse (8523) it gives a triangular number (11781 = T₁₅₃).

3258 is an esthetic number in base 16, because in such base its adjacent digits differ by 1.

It is an interprime number because it is at equal distance from previous prime (3257) and next prime (3259).

It can be written as a sum of positive squares in only one way, i.e., 3249 + 9 = 57^2 + 3^2 .

It is a super-2 number, since 2×3258² = 21229128, which contains 22 as substring.

It is a Smith number, since the sum of its digits (18) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 181 = 3258 / (3 + 2 + 5 + 8).

It is an alternating number because its digits alternate between odd and even.

It is a plaindrome in base 7 and base 14.

It is a nialpdrome in base 9, base 15 and base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 3258.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 3258.

It is not an unprimeable number, because it can be changed into a prime (3251) 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 5 ways as a sum of consecutive naturals, for example, 73 + ... + 108.

2³²⁵⁸ is an apocalyptic number.

3258 is an abundant number, since it is smaller than the sum of its proper divisors (3840).

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

3258 is a wasteful number, since it uses less digits than its factorization.

3258 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 186 counting only the distinct ones).

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

The square root of 3258 is about 57.0788927713. The cubic root of 3258 is about 14.8246242133.

Subtracting from 3258 its sum of digits (18), we obtain a triangular number (3240 = T₈₀).

3258 divided by its sum of digits (18) gives a palindrome (181).

Adding to 3258 its reverse (8523), we get a triangular number (11781 = T₁₅₃).

It can be divided in two parts, 325 and 8, that added together give a palindrome (333).

The spelling of 3258 in words is "three thousand, two hundred fifty-eight".