30258 has 18 divisors (see below), whose sum is σ = 67197. Its totient is φ = 9840.

The previous prime is 30253. The next prime is 30259. The reversal of 30258 is 85203.

30258 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 21609 + 8649 = 147^2 + 93^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=123.

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).

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 30258.

It is not an unprimeable number, because it can be changed into a prime (30253) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 718 + ... + 758.

2³⁰²⁵⁸ is an apocalyptic number.

30258 is an abundant number, since it is smaller than the sum of its proper divisors (36939).

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

30258 is a wasteful number, since it uses less digits than its factorization.

30258 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 46 counting only the distinct ones).

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

The square root of 30258 is about 173.9482681719. The cubic root of 30258 is about 31.1611449256.

Adding to 30258 its sum of digits (18), we get a square (30276 = 174²).

Multiplying 30258 by its sum of digits (18), we get a square (544644 = 738²).

30258 divided by its sum of digits (18) gives a square (1681 = 41²).

Subtracting 30258 from its reverse (85203), we obtain a palindrome (54945).

The spelling of 30258 in words is "thirty thousand, two hundred fifty-eight".