300825 has 36 divisors (see below), whose sum is σ = 619008. Its totient is φ = 136800.

The previous prime is 300823. The next prime is 300851. The reversal of 300825 is 528003.

Added to its reverse (528003) it gives a triangular number (828828 = T₁₂₈₇).

300825 is nontrivially palindromic in base 14.

It is not a de Polignac number, because 300825 - 2¹ = 300823 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 300798 and 300807.

It is not an unprimeable number, because it can be changed into a prime (300821) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1480 + ... + 1670.

2³⁰⁰⁸²⁵ is an apocalyptic number.

300825 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

300825 is an abundant number, since it is smaller than the sum of its proper divisors (318183).

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

300825 is a wasteful number, since it uses less digits than its factorization.

300825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 206 counting only the distinct ones).

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

The square root of 300825 is about 548.4751589635. The cubic root of 300825 is about 67.0046035301.

Adding to 300825 its reverse (528003), we get a palindrome (828828).

The spelling of 300825 in words is "three hundred thousand, eight hundred twenty-five".