284140625 has 16 divisors (see below), whose sum is σ = 355272528. Its totient is φ = 227250000.

The previous prime is 284140621. The next prime is 284140627. The reversal of 284140625 is 526041482.

It can be written as a sum of positive squares in 8 ways, for example, as 135885649 + 148254976 = 11657^2 + 12176^2 .

It is not a de Polignac number, because 284140625 - 2² = 284140621 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 284140591 and 284140600.

It is not an unprimeable number, because it can be changed into a prime (284140621) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76307 + ... + 79943.

It is an arithmetic number, because the mean of its divisors is an integer number (22204533).

Almost surely, 2^284140625 is an apocalyptic number.

284140625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

284140625 is a deficient number, since it is larger than the sum of its proper divisors (71131903).

284140625 is an frugal number, since it uses more digits than its factorization.

284140625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3672 (or 3642 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

The square root of 284140625 is about 16856.4713092628. The cubic root of 284140625 is about 657.4223187441.

The spelling of 284140625 in words is "two hundred eighty-four million, one hundred forty thousand, six hundred twenty-five".