284320825 has 12 divisors (see below), whose sum is σ = 367887168. Its totient is φ = 217566800.

The previous prime is 284320819. The next prime is 284320831. The reversal of 284320825 is 528023482.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (284320819) and next prime (284320831).

It is not a de Polignac number, because 284320825 - 2⁵ = 284320793 is a prime.

It is a super-3 number, since 3×284320825³ (a number of 26 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 246661 + ... + 247810.

It is an arithmetic number, because the mean of its divisors is an integer number (30657264).

Almost surely, 2^284320825 is an apocalyptic number.

284320825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

284320825 is a deficient number, since it is larger than the sum of its proper divisors (83566343).

284320825 is a wasteful number, since it uses less digits than its factorization.

284320825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494504 (or 494499 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 34.

The square root of 284320825 is about 16861.8155902619. The cubic root of 284320825 is about 657.5612669226.

The spelling of 284320825 in words is "two hundred eighty-four million, three hundred twenty thousand, eight hundred twenty-five".