284625 has 48 divisors (see below), whose sum is σ = 584064. Its totient is φ = 132000.

The previous prime is 284623. The next prime is 284633. The reversal of 284625 is 526482.

It is not a de Polignac number, because 284625 - 2¹ = 284623 is a prime.

It is a super-2 number, since 2×284625² = 162022781250, which contains 22 as substring.

It is a Curzon number.

284625 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (284623) 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, 12364 + ... + 12386.

It is an arithmetic number, because the mean of its divisors is an integer number (12168).

2²⁸⁴⁶²⁵ is an apocalyptic number.

284625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

284625 is an abundant number, since it is smaller than the sum of its proper divisors (299439).

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

284625 is a wasteful number, since it uses less digits than its factorization.

284625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 42 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 284625 is about 533.5025773134. The cubic root of 284625 is about 65.7795676313.

It can be divided in two parts, 284 and 625, that added together give a palindrome (909).

The spelling of 284625 in words is "two hundred eighty-four thousand, six hundred twenty-five".