258825 has 48 divisors (see below), whose sum is σ = 535680. Its totient is φ = 107520.

The previous prime is 258809. The next prime is 258827. The reversal of 258825 is 528852.

258825 = T₁₀₆ + T₁₀₇ + ... + T₁₃₉.

It is not a de Polignac number, because 258825 - 2⁴ = 258809 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 258792 and 258801.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 258825.

It is not an unprimeable number, because it can be changed into a prime (258827) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8911 + ... + 8939.

It is an arithmetic number, because the mean of its divisors is an integer number (11160).

2²⁵⁸⁸²⁵ is an apocalyptic number.

258825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

258825 is an abundant number, since it is smaller than the sum of its proper divisors (276855).

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

258825 is a wasteful number, since it uses less digits than its factorization.

258825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 61 counting only the distinct ones).

The product of its digits is 6400, while the sum is 30.

The square root of 258825 is about 508.7484643711. The cubic root of 258825 is about 63.7287510881.

Adding to 258825 its product of digits (6400), we get a square (265225 = 515²).

The spelling of 258825 in words is "two hundred fifty-eight thousand, eight hundred twenty-five".