284125 has 8 divisors (see below), whose sum is σ = 354744. Its totient is φ = 227200.

The previous prime is 284117. The next prime is 284129. The reversal of 284125 is 521482.

It can be written as a sum of positive squares in 4 ways, for example, as 36 + 284089 = 6^2 + 533^2 .

It is not a de Polignac number, because 284125 - 2³ = 284117 is a prime.

It is a Duffinian number.

It is a plaindrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 284096 and 284105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (284129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1012 + ... + 1261.

It is an arithmetic number, because the mean of its divisors is an integer number (44343).

2²⁸⁴¹²⁵ is an apocalyptic number.

284125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

284125 is a deficient number, since it is larger than the sum of its proper divisors (70619).

284125 is an equidigital number, since it uses as much as digits as its factorization.

284125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2288 (or 2278 counting only the distinct ones).

The product of its digits is 640, while the sum is 22.

The square root of 284125 is about 533.0337700371. The cubic root of 284125 is about 65.7410267890.

The spelling of 284125 in words is "two hundred eighty-four thousand, one hundred twenty-five".